FEDERATED GNMA TRUST, 497J, 1999-05-28

FEDERATED GNMA TRUST
497J, 1999-05-28

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                              FEDERATED GNMA TRUST

                            Federated Investors Funds
                              5800 Corporate Drive

                       Pittsburgh, Pennsylvania 15237-7000

                                  May 28, 1999

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

Washington, DC  20549

      RE:  FEDERATED GNMA TRUST ( the "FUND")
           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 Fund hereby certifies that the definitive forms of prospectuses and
statement of additional information dated May 31, 1999, 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 Fund. This registration statement was electronically filed
under Rule 485(b)as Post-effective amendment No. 35 on May 26, 1999

        If you have any questions regarding this certification, please call me
at (412) 288-8634.

                                                   Very truly yours,

                                                   /s/ Anthony R. Bosch
                                                   Anthony R. Bosch
                                                   Assistant Secretary