EATON VANCE HIGH INCOME TRUST
24F-2TM, 1995-08-11
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<PAGE>

August 11, 1995


Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, DC  20549

RE:  Rule 24f-2 Notice for
     Eaton Vance High Income Trust
     1933 Act File No. 33-3795
     1940 Act File No. 811-4607


         In accordance with the provisions of Rule 24f-2 under the Investment
Company Act of 1940, Eaton Vance High Income Trust hereby files its Rule 24f-2
Notice.

           (i) This Rule 24f-2 Notice is being filed for the period from April
1, 1995 to July 31, 1995 ("Fiscal Period"). It is the intent of the Trust to
cease operations effective July 31, 1995, therefore this Notice serves to
terminate the Trust's election under Rule 24f-2.

          (ii) No shares of the Trust which have been registered under the
Securities Act of 1933 (other than pursuant to Rule 24f-2) remained unsold at
the beginning of the Fiscal Period.

         (iii) No shares of the Trust were registered during the Fiscal Period,
other than pursuant to Rule 24f-2.

          (iv) 8,073,098 shares of the Trust were sold during the Fiscal Period.

           (v) 8,073,098 shares of the Trust were sold during the Fiscal Period
in reliance upon the Declaration of the Trust pursuant to Rule 24f-2 which
registered an indefinite amount of securities. Attached to this Rule 24f-2
Notice, and made part hereof, is an opinion of counsel indicating that the
securities, the registration of which the Notice makes definite in number, were
legally issued, fully paid, and non-assessable by the Trust.

         In accordance with subsection (c) of Rule 24f-2, $6,024.84 has been
wired to the SEC account at Mellon Bank, which represents the registration fee.
Such fee is based upon the actual aggregate sale price for which such securities
were sold during the Fiscal Period, reduced by the actual aggregate redemption
price of the shares redeemed by the Trust during the Fiscal Period.
<PAGE>

Rule 24f-2 Notice for                                     Page 2
Eaton Vance High Income Trust
1933 Act File No. 33-3795
1940 Act File No. 811-4607





Aggregate Sale Price for Shares                                 $ 58,168,227
Sold During Fiscal Period Pusuant to
Rule 24f-2.

Reduced by the Difference Between

(1)  Aggregate Redemption Price of
     Shares Redeemed During the
     Fiscal Period                                              $ 40,696,191


and

(2)  Aggregate Redemption Price of
     Redeemed Shares Previously
     Applied by Fund Pursuant to
     Rule 24e-2(a) in Filings Made
     Pursuant to Section 24(e)(1) of
     Investment Company Act of 1940                             $ 0.00

Equals                                                          $17,472,036


         Any questions regarding the matter should by addressed to James A.
Thebado, Eaton Vance Management, 24 Federal Street, Boston, Massachusetts 02110.


                                               Sincerely,

                                               Eaton Vance Management

                                           /S/ Barbara E. Campbell
                                               ------------------------------
                                               Barbara E. Campbell
                                               Assistant Vice President
<PAGE>

                               OPINION OF COUNSEL


                                                                 August 11, 1995

Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, DC  20549

RE:      Rule 24f-2 Notice for
         Eaton Vance High Income Trust
         1933 Act File No. 33-3795
         1940 Act File no. 811-4607



Gentlemen:

         In connection with the filing of a Notice pursuant to Rule 24f-2 under
the Investment Company Act of 1940, as amended, making definite the registration
under the Securities Act of 1933 of 8,073,098 shares of the Trust sold in
reliance upon said Rule 24f-2 during the fiscal period from April 1, 1995 to
July 31, 1995, it is the opinion of the undersigned that such shares were
legally issued, fully paid and nonassessable.


                                               Sincerely,

                                               Eaton Vance Management

                                           /S/ H. Day Brigham, Jr.
                                               ------------------------------
                                               H. Day Brigham, Jr.

                                               Vice President and
                                               Chairman of the Management
                                               Committee
                                               Member of Massachusetts and
                                               New York Bars



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