FEDERATED GNMA TRUST, 497J, 2000-03-30

FEDERATED GNMA TRUST
497J, 2000-03-30

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                              FEDERATED GNMA TRUST

                            Federated Investors Funds

                              5800 Corporate Drive

                       Pittsburgh, Pennsylvania 15237-7000

                                 March 30, 2000

EDGAR Operations Branch
Securities and Exchange Commission
Division of Investment Management
450 Fifth Street, Northwest
Washington, DC  20549

     RE: FEDERATED GNMA TRUST
         Institutional Shares
         Institutional Service Shares
         1933 Act File No. 2-75670
         1940 ACT FILE NO. 811-3375

Dear Sir or Madam:

     Pursuant to Rule 497(j) under the Securities  Act of 1933, the  above-named
Trust hereby  certifies that the definitive  forms of prospectuses and statement
of additional information dated March 31, 2000, that would have been filed under
Rule  497(c),  do not differ from the forms of  prospectuses  and  statement  of
additional  information contained in the most recent registration  statement for
the Trust.  This  registration  statement  was  electronically  filed under Rule
485(b).

     If you have any questions regarding this  certification,  please call me at
(412) 288-8160.

                                          Very truly yours,



                                          /s/ C. Grant Anderson
                                          C. Grant Anderson
                                          Assistant Secretary