PREMIER GNMA FUND, 497J, 1997-05-02

PREMIER GNMA FUND
497J, 1997-05-02

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                                                                May 2, 1997



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street N.W.
Washington D.C. 20549


        Re:     Dreyfus Premier GNMA Fund
                Registration Statement File No. 33-9591
                CIK No: 804171

Dear Sir/Madam:

        Pursuant to Rule 497(j) under the Securities Act of 1933, please be
advised that there are no changes to the Prospectus and Statement of
Additional Information contained in Post-Effective Amendment No. 18  to the
Fund's Registration Statement on Form N-1A filed pursuant to Rule 485(b)
with the Securities and Exchange Commission on April 29, 1997.

        Please address any comments or questions to the attention of the
undersigned at (212)922-6806.


                                                          Very truly yours,



                                                           Matthew Bromberg