EATON VANCE MUTUAL FUNDS TRUST
497J, 2000-05-12
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                         EATON VANCE MUTUAL FUNDS TRUST
                            The Eaton Vance Building
                                255 State Street
                                Boston, MA 02109
                            Telephone: (617) 482-8260
                            Telecopy: (617) 338-8054

                                  CERTIFICATION

     Pursuant to Rule 497(j) under the Securities  Act of 1933, as amended,  and
Regulation S-T, Eaton Vance Mutual Funds Trust (the "Registrant") (1933 Act File
No.  02-90946)  certifies (a) that the forms of  prospectuses  and statements of
additional  information  dated May 12, 2000 used with  respect to the  following
series of the  Registrant,  do not differ  materially  from those  contained  in
Post-Effective  Amendment  No.  59  ("Amendment  No.  59")  to the  Registrant's
Registration  Statement on Form N-1A,  and (b) that  Amendment  No. 59 was filed
electronically with the Commission (Accession No.  0000950156-00-000264)  on May
1, 2000.

                 Eaton Vance Tax-Managed Young Shareholder Fund

                                EATON VANCE MUTUAL FUNDS TRUST

                                By:     /s/ Eric G. Woodbury
                                        ---------------------------
                                        Eric G. Woodbury, Esq.
                                        Assistant Secretary


Dated:  May 12, 2000


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