SCUDDER GNMA FUND
497J, 1998-08-05
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                                                     August 4, 1998

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

     RE:  Scudder  GNMA Fund (Reg.  No.  2-82632)  (811-3699)  (the "Fund") Post
     Effective Amendment No. 16 to Registration Statement on Form N-1A

Ladies and Gentlemen:

     Pursuant to Rule 497(j) under the Securities  Act of 1933, as amended,  the
Fund hereby  certifies  that the form of Prospectus  and Statement of Additional
Information  that would have been filed on behalf of the Fund  pursuant  to Rule
497(c) upon the effectiveness of  Post-Effective  Amendment No. 16 to the Fund's
Registration  Statement on Form N-1A (the "Amendment") does not differ from that
contained  in the  Amendment,  which  is  the  most  recent  amendment  to  such
Registration Statement and was filed electronically on July 29, 1998.

     Comments or questions  concerning this  certificate may be directed to John
Millette at (617) 295-2572.

                                              Very truly Yours,


                                              Scudder GNMA Fund


                                     By:      /s/Thomas F. McDonough
                                              ---------------------------
                                              Thomas F. McDonough
                                              Secretary




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