UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM N-Q

        QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT
                               INVESTMENT COMPANY

                  Investment Company Act file number 811-21586

                     First Trust Enhanced Equity Income Fund
               (Exact name of registrant as specified in charter)

                        120 East Liberty Drive, Suite 400
                                Wheaton, IL 60187
               (Address of principal executive offices) (Zip code)

                             W. Scott Jardine, Esq.
                           First Trust Portfolios L.P.
                        120 East Liberty Drive, Suite 400
                                Wheaton, IL 60187
                     (Name and address of agent for service)

       Registrant's telephone number, including area code: (630) 765-8000

                      Date of fiscal year end: December 31

                    Date of reporting period: March 31, 2010

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (Sections 239.24 and 274.5
of this chapter), to file reports with the Commission, not later than 60 days
after the close of the first and third fiscal quarters, pursuant to rule 30b1-5
under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may
use the information provided on Form N-Q in its regulatory, disclosure review,
inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and
the Commission will make this information public. A registrant is not required
to respond to the collection of information contained in Form N-Q unless the
Form displays a currently valid Office of Management and Budget ("OMB") control
number. Please direct comments concerning the accuracy of the information
collection burden estimate and any suggestions for reducing the burden to the
Secretary, Securities and Exchange Commission, 100 F Street, NE, Washington, DC
20549. The OMB has reviewed this collection of information under the clearance
requirements of 44 U.S.C. Section 3507.



ITEM 1. SCHEDULE OF INVESTMENTS.

The Schedule(s) of Investments is attached herewith.


FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (A)
MARCH 31, 2010 (UNAUDITED)



 SHARES                         DESCRIPTION                             VALUE
 ------   -------------------------------------------------------   ------------
                                                              
COMMON STOCKS - 91.1%
          AEROSPACE & DEFENSE - 3.2%
 75,900   Honeywell International, Inc. (b) .....................   $  3,435,993
 64,000   United Technologies Corp. (b) .........................      4,711,040
                                                                    ------------
                                                                       8,147,033
                                                                    ------------
          AIR FREIGHT & LOGISTICS - 1.3%
 50,000   United Parcel Service, Inc., Class B (b) ..............      3,220,500
                                                                    ------------
          BEVERAGES - 5.1%
 80,000   Coca-Cola (The) Co. (b) ...............................      4,400,000
 50,000   Diageo PLC, ADR .......................................      3,372,500
 80,000   PepsiCo, Inc. (b) .....................................      5,292,800
                                                                    ------------
                                                                      13,065,300
                                                                    ------------
          CAPITAL MARKETS - 2.3%
 56,300   Ameriprise Financial, Inc. (c) ........................      2,553,768
150,000   Invesco, Ltd. .........................................      3,286,500
                                                                    ------------
                                                                       5,840,268
                                                                    ------------
          CHEMICALS - 4.3%
 88,000   Dow Chemical (The) Co. (b) ............................      2,602,160
 70,000   E.I. du Pont de Nemours & Co. (b) .....................      2,606,800
 90,000   PPG Industries, Inc. (b) ..............................      5,886,000
                                                                    ------------
                                                                      11,094,960
                                                                    ------------
          COMMERCIAL BANKS - 0.0%
 11,919   National Penn Bancshares, Inc. ........................         82,241
                                                                    ------------
          COMMERCIAL SERVICES & SUPPLIES - 1.1%
 80,000   Waste Management, Inc. (b) ............................      2,754,400
                                                                    ------------
          COMMUNICATIONS EQUIPMENT - 3.6%
245,200   Cisco Systems, Inc. (b) (d) ...........................      6,382,556
 70,000   QUALCOMM, Inc. ........................................      2,939,300
                                                                    ------------
                                                                       9,321,856
                                                                    ------------
          COMPUTERS & PERIPHERALS - 4.4%
 90,000   Hewlett-Packard Co. ...................................      4,783,500
 50,000   International Business Machines Corp. (b) .............      6,412,500
                                                                    ------------
                                                                      11,196,000
                                                                    ------------
          DIVERSIFIED FINANCIAL SERVICES - 3.8%
147,000   JPMorgan Chase & Co. (b) ..............................      6,578,250
105,000   NYSE Euronext (b) .....................................      3,109,050
                                                                    ------------
                                                                       9,687,300
                                                                    ------------
          DIVERSIFIED TELECOMMUNICATION SERVICES - 2.8%
200,000   Alaska Communications Systems Group, Inc. .............      1,624,000
 62,100   AT&T, Inc. ............................................      1,604,664
130,000   Verizon Communications, Inc. (b) ......................      4,032,600
                                                                    ------------
                                                                       7,261,264
                                                                    ------------
          ELECTRICAL EQUIPMENT - 3.3%
169,100   Emerson Electric Co. (b) ..............................      8,512,494
                                                                    ------------


                 See Notes to Quarterly Portfolio of Investments


                                     Page 1



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (a) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)



 SHARES                         DESCRIPTION                             VALUE
 ------   -------------------------------------------------------   ------------
                                                              
COMMON STOCKS - (CONTINUED)
          FOOD & STAPLES RETAILING - 1.6%
 75,000   CVS Caremark Corp. ....................................   $  2,742,000
 50,000   Sysco Corp. ...........................................      1,475,000
                                                                    ------------
                                                                       4,217,000
                                                                    ------------
          FOOD PRODUCTS - 0.6%
 50,000   Kraft Foods, Inc., Class A (c) ........................      1,512,000
                                                                    ------------
          HEALTHCARE EQUIPMENT & SUPPLIES - 1.6%
 90,000   Medtronic, Inc. (b) ...................................      4,052,700
                                                                    ------------
          HOTELS, RESTAURANTS & LEISURE - 0.9%
 60,000   Carnival Corp. (c) ....................................      2,332,800
                                                                    ------------
          INDUSTRIAL CONGLOMERATES - 1.3%
 40,000   3M Co. (b) ............................................      3,342,800
                                                                    ------------
          INSURANCE - 5.5%
 62,500   ACE Ltd. ..............................................      3,268,750
120,000   Lincoln National Corp. (b) ............................      3,684,000
 85,000   MetLife, Inc. (b) .....................................      3,683,900
 55,000   Prudential Financial, Inc. (b) ........................      3,327,500
                                                                    ------------
                                                                      13,964,150
                                                                    ------------
          IT SERVICES - 0.6%
 50,000   Paychex, Inc. (c) .....................................      1,535,000
                                                                    ------------
          MACHINERY - 2.2%
 90,000   Caterpillar, Inc. (b) .................................      5,656,500
                                                                    ------------
          MARINE - 0.6%
150,000   Seaspan Corp. .........................................      1,504,500
                                                                    ------------
          MEDIA - 1.7%
200,000   Regal Entertainment Group, Class A (b) ................      3,514,000
 25,500   Walt Disney (The) Co. (c) .............................        890,205
                                                                    ------------
                                                                       4,404,205
                                                                    ------------
          METALS & MINING - 1.9%
 60,000   BHP Billiton Ltd., ADR (b) ............................      4,819,200
                                                                    ------------
          MULTILINE RETAIL - 3.2%
100,000   J.C. Penney Co., Inc. .................................      3,217,000
 95,000   Target Corp. ..........................................      4,997,000
                                                                    ------------
                                                                       8,214,000
                                                                    ------------
          OIL, GAS & CONSUMABLE FUELS - 8.9%
 25,000   BP PLC, ADR ...........................................      1,426,750
 60,000   Chevron Corp. (b) .....................................      4,549,800
120,000   Exxon Mobil Corp. .....................................      8,037,600
 87,000   Occidental Petroleum Corp. (b) ........................      7,354,980
 60,000   Williams (The) Cos., Inc. (b) .........................      1,386,000
                                                                    ------------
                                                                      22,755,130
                                                                    ------------
          PERSONAL PRODUCTS - 1.3%
100,000   Avon Products, Inc. (b) ...............................      3,387,000
                                                                    ------------


                 See Notes to Quarterly Portfolio of Investments


                                     Page 2



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (a) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)



 SHARES                         DESCRIPTION                             VALUE
 ------   -------------------------------------------------------   ------------
                                                              
COMMON STOCKS - (CONTINUED)
          PHARMACEUTICALS - 9.1%
 95,000   Abbott Laboratories (b) ...............................   $  5,004,600
350,100   Bristol-Myers Squibb Co. (b) ..........................      9,347,670
100,000   Merck & Co., Inc. (b) .................................      3,735,000
300,000   Pfizer, Inc. (b) ......................................      5,145,000
                                                                    ------------
                                                                      23,232,270
                                                                    ------------
          REAL ESTATE INVESTMENT TRUSTS (REITS) - 3.0%
184,300   Annaly Capital Management, Inc. (c) ...................      3,166,274
 99,800   Capstead Mortgage Corp. ...............................      1,193,608
450,000   MFA Mortgage Investments, Inc. ........................      3,312,000
                                                                    ------------
                                                                       7,671,882
                                                                    ------------
          SEMICONDUCTORS & SEMICONDUCTOR EQUIPMENT - 6.2%
457,300   Intel Corp. (b) .......................................     10,179,498
200,000   Microchip Technology, Inc. ............................      5,632,000
                                                                    ------------
                                                                      15,811,498
                                                                    ------------
          SOFTWARE - 1.8%
160,000   Microsoft Corp. (b) ...................................      4,683,200
                                                                    ------------
          SPECIALTY RETAIL - 1.0%
100,000   Limited Brands, Inc. ..................................      2,462,000
                                                                    ------------
          TOBACCO - 2.3%
160,000   Altria Group, Inc. ....................................      3,283,200
 50,000   Philip Morris International, Inc. .....................      2,608,000
                                                                    ------------
                                                                       5,891,200
                                                                    ------------
          WATER UTILITIES - 0.6%
 74,200   American Water Works Co., Inc. ........................      1,614,592
                                                                    ------------
          TOTAL COMMON STOCKS
          (Cost $237,337,612) ...................................    233,247,243
                                                                    ------------




SHARES/
 UNITS                          DESCRIPTION                             VALUE
-------   -------------------------------------------------------   ------------
                                                              
MASTER LIMITED PARTNERSHIPS - 4.8%
          OIL, GAS & CONSUMABLE FUELS - 4.8%
160,000   Copano Energy, LLC ....................................      3,860,800
 90,000   Energy Transfer Partners, L.P. ........................      4,217,400
 40,000   Enterprise Products Partners, L.P. ....................      1,383,200
 60,000   Magellan Midstream Partners, L.P. .....................      2,851,800
                                                                    ------------
          TOTAL MASTER LIMITED PARTNERSHIPS
          (Cost $9,234,175) .....................................     12,313,200
                                                                    ------------


                 See Notes to Quarterly Portfolio of Investments


                                     Page 3



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (A) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)



SHARES/
 UNITS                          DESCRIPTION                             VALUE
-------   -------------------------------------------------------   ------------
                                                              
EXCHANGE-TRADED FUNDS - 2.6%
          CAPITAL MARKET - 2.6%
264,500   SPDR KBW Bank ETF (b) .................................   $  6,826,745
                                                                    ------------
          TOTAL EXCHANGE-TRADED FUNDS
          (Cost $3,929,150) .....................................      6,826,745
                                                                    ------------
          TOTAL INVESTMENTS - 98.5%
          (Cost $250,500,937) (e) ...............................    252,387,188
                                                                    ------------




NUMBER OF
CONTRACTS                        DESCRIPTION                            VALUE
---------   -----------------------------------------------------   ------------
                                                              
CALL OPTIONS WRITTEN - (0.3%)
            3M Co. Call
      200   @ 85 due Apr 10 .....................................        (10,600)
                                                                    ------------
            Abbott Laboratories Call
      300   @ 55 due Apr 10 .....................................         (2,100)
                                                                    ------------
            Ameriprise Financial, Inc. Call
      563   @ 45 due Apr 10 .....................................        (56,300)
                                                                    ------------
            Annaly Capital Management, Inc. Call
    1,843   @ 18 due Apr 10 .....................................         (9,215)
                                                                    ------------
            Avon Products, Inc. Call
      300   @ 37 due Apr 10 .....................................        (18,000)
                                                                    ------------
            BHP Billiton Ltd., ADR Call
      400   @ 85 due Apr 10 .....................................        (14,000)
                                                                    ------------
            Bristol-Myers Squibb Co. Call
        1   @ 26 due Apr 10 .....................................            (90)
                                                                    ------------
            Carnival Corp. Call
      600   @ 28 due Apr 10 .....................................        (21,000)
                                                                    ------------
            Caterpillar, Inc. Call
      400   @ 62.5 due Apr 10 ...................................        (59,200)
                                                                    ------------
            Chevron Corp. Call
      200   @ 75 due Apr 10 .....................................        (29,000)
                                                                    ------------
            Cisco Systems, Inc. Call
      500   @ 27 due Apr 10 .....................................         (5,500)
                                                                    ------------
            Coca-Cola (The) Co. Call
      200   @ 55 due Apr 10 .....................................        (13,200)
                                                                    ------------


                 See Notes to Quarterly Portfolio of Investments


                                     Page 4



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (A) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)



NUMBER OF
CONTRACTS                        DESCRIPTION                            VALUE
---------   -----------------------------------------------------   ------------
                                                              
CALL OPTIONS WRITTEN - (CONTINUED)
            Dow Chemical (The) Co. Call
      400   @ 31 due Apr 10 .....................................   $     (9,600)
                                                                    ------------
            E.I. du Pont de Nemours & Co. Call
      300   @ 31 due Apr 10 .....................................         (4,200)
                                                                    ------------
            Emerson Electric Co. Call
      500   @ 50 due Apr 10 .....................................        (45,500)
                                                                    ------------
            Honeywell International, Inc. Call
      500   @ 45 due Apr 10 .....................................        (45,500)
                                                                    ------------
            Intel Corp. Call
    1,000   @ 23 due Apr 10 .....................................        (26,000)
                                                                    ------------
            International Business Machines Corp. Call
      100   @ 130 due Apr 10 ....................................         (7,100)
                                                                    ------------
            JPMorgan Chase & Co. Call
      450   @ 46 due Apr 10 .....................................        (23,850)
                                                                    ------------
            Kraft Foods, Inc., Class A Call
      500   @ 31 due Apr 10 .....................................         (6,000)
                                                                    ------------
            Lincoln National Corp. Call
      300   @ 31 due Apr 10 .....................................        (18,000)
                                                                    ------------
            Medtronic, Inc. Call
      400   @ 48 due Apr 10 .....................................         (3,000)
                                                                    ------------
            Merck & Co., Inc. Call
      300   @ 40 due Apr 10 .....................................         (1,500)
                                                                    ------------
            MetLife, Inc. Calls
      100   @ 44 due Apr 10 .....................................         (4,500)
      150   @ 45 due Apr 10 .....................................         (3,150)
                                                                    ------------
                                                                          (7,650)
                                                                    ------------
            Microsoft Corp. Call
      300   @ 30 due Apr 10 .....................................         (6,900)
                                                                    ------------
            NYSE Euronext Call
      250   @ 30 due Apr 10 .....................................         (9,250)
                                                                    ------------
            Occidental Petroleum Corp. Call
      300   @ 85 due Apr 10 .....................................        (38,400)
                                                                    ------------
            Paychex, Inc. Call
      500   @ 32.5 due Apr 10 ...................................         (5,000)
                                                                    ------------


                 See Notes to Quarterly Portfolio of Investments


                                     Page 5



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (A) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)



NUMBER OF
CONTRACTS                        DESCRIPTION                            VALUE
---------   -----------------------------------------------------   ------------
                                                              
CALL OPTIONS WRITTEN - (CONTINUED)
            PepsiCo, Inc. Calls
      150   @ 65 due Apr 10 .....................................   $    (22,800)
      150   @ 67.5 due Apr 10 ...................................         (4,350)
                                                                    ------------
                                                                         (27,150)
                                                                    ------------
            Pfizer, Inc. Call
      500   @ 18 due Apr 10 .....................................         (3,000)
                                                                    ------------
            PPG Industries, Inc. Call
      300   @ 70 due Apr 10 .....................................         (6,000)
                                                                    ------------
            Prudential Financial, Inc. Call
      300   @ 60 due Apr 10 .....................................        (48,000)
                                                                    ------------
            Regal Entertainment Group, Class A Call
      400   @ 17.5 due Apr 10 ...................................        (21,000)
                                                                    ------------
            S&P 500 Index Calls (f)
      350   @ 1200 due Apr 10 ...................................        (98,000)
      350   @ 1210 due Apr 10 ...................................        (49,000)
                                                                    ------------
                                                                        (147,000)
                                                                    ------------
            SPDR KBW Bank ETF Calls
      500   @ 25 due Apr 10 .....................................        (51,250)
    1,000   @ 26 due Apr 10 .....................................        (40,000)
                                                                    ------------
                                                                         (91,250)
                                                                    ------------
            United Parcel Service, Inc., Class B Call
      150   @ 65 due Apr 10 .....................................         (8,700)
                                                                    ------------
            United Technologies Corp. Call
      150   @ 75 due Apr 10 .....................................         (7,350)
                                                                    ------------
            Verizon Communications, Inc. Call
      800   @ 31 due Apr 10 .....................................        (20,800)
                                                                    ------------
            Walt Disney (The) Co. Call
      255   @ 36 due Apr 10 .....................................         (3,825)
                                                                    ------------
            Waste Management, Inc. Call
      200   @ 35 due Apr 10 .....................................         (4,000)
                                                                    ------------
            Williams (The) Companies, Inc. Call
      400   @ 24 due Apr 10 .....................................         (8,000)
                                                                    ------------
            TOTAL CALL OPTIONS WRITTEN - (0.3)%
            (Premiums received $990,834) ........................       (891,730)
                                                                    ------------
            NET OTHER ASSETS AND LIABILITIES - 1.8% ............       4,614,212
                                                                    ------------
            NET ASSETS - 100.0% ................................    $256,109,670
                                                                    ============


                 See Notes to Quarterly Portfolio of Investments


                                     Page 6



FIRST TRUST ENHANCED EQUITY INCOME FUND
PORTFOLIO OF INVESTMENTS (A) - (CONTINUED)
MARCH 31, 2010 (UNAUDITED)

(a)  All percentages shown in the Portfolio of Investments are based on net
     assets.

(b)  Call options were written on a portion of the Common Stock position and are
     fully covered by the Common Stock position.

(c)  Call options were written on this entire Common Stock position and are
     fully covered by the Common Stock position.

(d)  Non-income producing security.

(e)  Aggregate cost for financial reporting purposes, which approximates the
     aggregate cost for federal income tax purposes. As of March 31, 2010, the
     aggregate gross unrealized appreciation for all securities in which there
     was an excess of value over tax cost was $22,075,308 and the aggregate
     gross unrealized depreciation for all securities in which there was an
     excess of tax cost over value was $20,189,057.

(f)  Call options on securities indices were written on a portion of the Common
     Stock positions that were not covered by call options on individual equity
     securities held in the Fund's portfolio.

ADR American Depositary Receipt

VALUATION INPUTS

A summary of the inputs used to value the Fund's investments as of March 31,
2010 is as follows (see Note 1A -- Portfolio Valuation in the Notes to Quarterly
Portfolio of Investments):



                                                            ASSETS TABLE

                                                                      LEVEL 2        LEVEL 3
                                         TOTAL         LEVEL 1      SIGNIFICANT    SIGNIFICANT
                                       VALUE AT        QUOTED       OBSERVABLE    UNOBSERVABLE
                                       3/31/2010       PRICES         INPUTS         INPUTS
                                     ------------   ------------   ------------   ------------
                                                                      
Common Stocks* ...................   $233,247,243   $233,247,243        $--            $--
Master Limited Partnerships* .....     12,313,200     12,313,200         --             --
Exchange-Traded Funds* ...........      6,826,745      6,826,745         --             --
                                     ------------   ------------        ---            ---
Total Investments ................   $252,387,188   $252,387,188        $--            $--
                                     ============   ============        ===            ===




                                                      LIABILITIES TABLE

                                                               LEVEL 2        LEVEL 3
                                       TOTAL      LEVEL 1    SIGNIFICANT    SIGNIFICANT
                                      VALUE AT     QUOTED     OBSERVABLE   UNOBSERVABLE
                                     3/31/2010     PRICES       INPUTS        INPUTS
                                     ---------   ---------   -----------   -----------
                                                               
Call Options Written .............   $(891,730)  $(891,730)      $--            $--
                                     =========   =========       ===            ===


*    See the Portfolio of Investments for industry breakdown.

                 See Notes to Quarterly Portfolio of Investments


                                     Page 7



NOTES TO QUARTERLY PORTFOLIO OF INVESTMENTS

                     FIRST TRUST ENHANCED EQUITY INCOME FUND
                           MARCH 31, 2010 (UNAUDITED)

                      1. VALUATION AND INVESTMENT PRACTICES

A. PORTFOLIO VALUATION:

The net asset value ("NAV") of the Common Shares of First Trust Enhanced Equity
Income Fund (the "Fund") is determined daily as of the close of regular trading
on the New York Stock Exchange ("NYSE"), normally 4:00 p.m. Eastern time, on
each day the NYSE is open for trading. The NAV per Common Share is calculated by
dividing the value of all assets of the Fund (including accrued interest and
dividends), less all liabilities (including accrued expenses, the value of call
options written (sold) and dividends declared but unpaid), by the total number
of Common Shares outstanding.

The Fund's investments are valued daily at market value or, in the absence of
market value with respect to any portfolio securities, at fair value according
to procedures adopted by the Fund's Board of Trustees. A majority of the Fund's
assets are valued using market information supplied by third parties. In the
event that market quotations are not readily available, the pricing service does
not provide a valuation for a particular asset, or the valuations are deemed
unreliable, the Fund's Board of Trustees has designated First Trust Advisors
L.P. ("First Trust") to use a fair value method to value the Fund's securities
and other investments. Additionally, if events occur after the close of the
principal markets for particular securities (e.g., domestic debt and foreign
securities), but before the Fund values its assets, that could materially affect
NAV, First Trust may use a fair value method to value the Fund's securities and
other investments. The use of fair value pricing by the Fund is governed by
valuation procedures adopted by the Fund's Board of Trustees, and in accordance
with the provisions of the Investment Company Act of 1940, as amended.

Portfolio securities listed on any exchange other than the NASDAQ National
Market ("NASDAQ") are valued at the last sale price on the business day as of
which such value is being determined. If there has been no sale on such day, or
no official closing price in the case of securities traded on the NASDAQ, the
securities are valued at the mean of the most recent bid and asked prices on
such day. Securities traded on the NASDAQ are valued at the NASDAQ Official
Closing Price as determined by NASDAQ. Portfolio securities listed on more than
one securities exchange are valued at the last sale price on the business day as
of which such value is being determined at the close of the exchange
representing the principal market for such securities. Portfolio securities
traded in the over-the-counter market, but excluding securities traded on the
NASDAQ, are valued at the closing bid prices. Short-term investments that mature
in less than 60 days when purchased are valued at amortized cost.

The Fund values exchange-traded options and other derivative contracts at the
closing price on the exchange on which they are principally traded, or if not
traded, or no closing price is available, at the mean between the last bid and
asked price.

The Fund is subject to fair value accounting standards that define fair value,
establish the framework for measuring fair value and provide a three-level
hierarchy for fair valuation based upon the inputs to the valuation as of the
measurement date. The three levels of the fair value hierarchy are as follows:

     -    Level 1 -  Level 1 inputs are quoted prices in active markets for
                     identical securities. An active market is a market in which
                     transactions for the security occur with sufficient
                     frequency and volume to provide pricing information on an
                     ongoing basis.

     -    Level 2 -  Level 2 inputs are observable inputs, either directly or
                     indirectly, and include the following:

                    -    Quoted prices for similar securities in active markets.

                    -    Quoted prices for identical or similar securities in
                         markets that are non-active. A non-active market is a
                         market where there are few transactions for the
                         security, the prices are not current, or price
                         quotations vary substantially either over time or among
                         market makers, or in which little information is
                         released publicly.

                    -    Inputs other than quoted prices that are observable for
                         the security (for example, interest rates and yield
                         curves observable at commonly quoted intervals,
                         volatilities, prepayment speeds, loss severities,
                         credit risks, and default rates).

                    -    Inputs that are derived principally from or
                         corroborated by observable market data by correlation
                         or other means.

     -    Level 3 -  Level 3 inputs are unobservable inputs. Unobservable inputs
                     reflect the reporting entity's own assumptions about the
                     assumptions that market participants would use in pricing
                     the security.


                                     Page 8



NOTES TO QUARTERLY PORTFOLIO OF INVESTMENTS - (CONTINUED)

                     FIRST TRUST ENHANCED EQUITY INCOME FUND
                           MARCH 31, 2010 (UNAUDITED)

The inputs or methodology used for valuing securities are not necessarily an
indication of the risk associated with investing in those securities. A summary
of the inputs used to value the Fund's investments as of March 31, 2010, is
included with the Fund's Portfolio of Investments.

B. WRITTEN OPTIONS:

The Fund may write (sell) covered call options ("options") on all or a portion
of the equity securities held in the Fund's portfolio and on securities indices
as determined to be appropriate by Chartwell Investment Partners, L.P
("Chartwell" or the "sub-Advisor"), consistent with the Fund's investment
objective. The number of options the Fund can write (sell) is limited by the
amount of equity securities the Fund holds in its portfolio. Options on
securities indices are designed to reflect price fluctuations in a group of
securities or a segment of the securities market rather than price fluctuations
in a single security and are similar to options on single securities, except
that the exercise of securities index options requires cash settlement payments
and does not involve the actual purchase or sale of securities. The Fund will
not write (sell) "naked" or uncovered options. If certain equity securities held
in the Fund's portfolio are not covered by a related call option on the
individual equity security, securities index options may be written on all or a
portion of such uncovered securities. By writing (selling) options, the Fund
seeks to generate additional income, in the form of premiums received, for
writing (selling) the options, and to provide a partial hedge against a market
decline in the underlying equity security. Options are marked-to-market daily
and their value will be affected by changes in the value and dividend rates of
the underlying equity securities, changes in interest rates, changes in the
actual or perceived volatility of the securities markets and the underlying
equity securities and the remaining time to the options' expiration. The value
of options may also be adversely affected if the market for the options becomes
less liquid or trading volume diminishes.

Options the Fund writes (sells) will either be exercised, expire or be cancelled
pursuant to a closing transaction. If the price of the underlying equity
security exceeds the option's exercise price, it is likely that the option
holder will exercise the option. If an option written (sold) by the Fund is
exercised, the Fund would be obligated to deliver the underlying equity security
to the option holder upon payment of the exercise price. In this case, the
option premium received by the Fund will be added to the amount realized on the
sale of the underlying equity security for purposes of determining gain or loss.
If the price of the underlying equity security is less than the option's
exercise price, the option will likely expire without being exercised. The
option premium received by the Fund will, in this case, be treated as short-term
capital gain on the expiration date of the option. The Fund may also elect to
close out its position in an option prior to its expiration by purchasing an
option of the same series as the option written (sold) by the Fund.

The options that the Fund writes (sells) give the option holder the right, but
not the obligation, to purchase a security from the Fund at the strike price on
or prior to the option's expiration date. The ability to successfully implement
the Fund's covered call investment strategy depends on the ability of Chartwell
to predict pertinent market movements, which cannot be assured. Thus, the use of
options may require the Fund to sell portfolio securities at inopportune times
or for prices other than current market value, which may limit the amount of
appreciation the Fund can realize on an investment, or may cause the Fund to
hold a security that it might otherwise sell. As the writer (seller) of a
covered option, the Fund forgoes, during the option's life, the opportunity to
profit from increases in the market value of the security covering the option
above the sum of the premium and the exercise price of the option, but has
retained the risk of loss should the price of the underlying security decline.
Once an option writer (seller) has received an exercise notice, it cannot effect
a closing purchase transaction in order to terminate its obligation under the
option and must deliver the underlying security to the option holder at the
exercise price.

The Fund is subject to equity price risk in the normal course of pursuing its
investment objective. Over-the-Counter ("OTC") options have the risk of the
potential inability of counterparties to meet the terms of their contracts. The
Fund's maximum equity price risk for purchased options is limited to the premium
initially paid. In addition, certain risks may arise upon entering into option
contracts including the risk that an illiquid secondary market will limit the
Fund's ability to close out an option contract prior to the expiration date and
that a change in the value of the option contract may not correlate exactly with
changes in the value of the securities hedged.

C. SECURITIES TRANSACTIONS:

Securities transactions are recorded as of the trade date. Realized gains and
losses from securities transactions are recorded on the identified cost basis.


                                     Page 9



NOTES TO QUARTERLY PORTFOLIO OF INVESTMENTS - (CONTINUED)

                     FIRST TRUST ENHANCED EQUITY INCOME FUND
                           MARCH 31, 2010 (UNAUDITED)

The Fund may hold publicly-traded master limited partnerships ("MLPs") and real
estate investment trusts ("REITs"). Distributions from such investments may
include a return of capital component from the MLP or REIT to the extent of the
cost basis of such MLP or REIT investments.

                           2. WRITTEN OPTION ACTIVITY

Written option activity for the three months ended March 31, 2010 was as
follows:



                                                     NUMBER
                                                       OF
                                                   CONTRACTS     PREMIUMS
                                                   ---------   -----------
                                                         
WRITTEN OPTIONS
Options outstanding at December 31, 2009........     24,445    $ 2,227,651
Options written.................................     79,244      5,902,999
Options expired.................................    (37,666)    (2,517,450)
Options exercised...............................     (8,284)      (346,646)
Options closed..................................    (39,927)    (4,275,720)
                                                    -------    -----------
Options outstanding at March 31, 2010...........     17,812    $   990,834
                                                    =======    ===========



                                     Page 10



ITEM 2. CONTROLS AND PROCEDURES.

     (a)  The registrant's principal executive and principal financial officers,
          or persons performing similar functions, have concluded that the
          registrant's disclosure controls and procedures (as defined in Rule
          30a-3(c) under the Investment Company Act of 1940, as amended (the
          "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within
          90 days of the filing date of the report that includes the disclosure
          required by this paragraph, based on their evaluation of these
          controls and procedures required by Rule 30a-3(b) under the 1940 Act
          (17 CFR 270.30a-3(b)) and Rules 13a-15(b) or 15d-15(b) under the
          Securities Exchange Act of 1934, as amended (17 CFR 240.13a-15(b) or
          240.15d-15(b)).

     (b)  There were no changes in the registrant's internal control over
          financial reporting (as defined in Rule 30a-3(d) under the 1940 Act
          (17 CFR 270.30a-3(d)) that occurred during the registrant's last
          fiscal quarter that have materially affected, or are reasonably likely
          to materially affect, the registrant's internal control over financial
          reporting.

ITEM 3. EXHIBITS.

Certifications pursuant to Rule 30a-2(a) under the 1940 Act and Section 302 of
the Sarbanes-Oxley Act of 2002 are attached hereto.



                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant) First Trust Enhanced Equity Income Fund


By (Signature and Title)* /s/ James A. Bowen
                          ------------------------------------------------------
                          James A. Bowen, Chairman of the Board, President and
                          Chief Executive Officer
                          (principal executive officer)

Date May 27, 2010

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this report has been signed below by the
following persons on behalf of the registrant and in the capacities and on the
dates indicated.


By (Signature and Title)* /s/ James A. Bowen
                          ------------------------------------------------------
                          James A. Bowen, Chairman of the Board, President and
                          Chief Executive Officer
                          (principal executive officer)

Date May 27, 2010


By (Signature and Title)* /s/ Mark R. Bradley
                          ------------------------------------------------------
                          Mark R. Bradley, Treasurer, Controller, Chief
                          Financial Officer and Chief Accounting Officer
                          (principal financial officer)

Date May 27, 2010

*    Print the name and title of each signing officer under his or her
     signature.