DREYFUS BASIC U S GOVERNMENT MONEY MARKET FUND, 497J, 1995-07-10

DREYFUS BASIC U S GOVERNMENT MONEY MARKET FUND
497J, 1995-07-10

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                    DREYFUS BASIC MONEY MARKET FUND, INC.


                                                        July 10, 1995



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

Attn:  FILINGS - RULE 497 (j)

RE:  Dreyfus BASIC U.S. Government Money Market Fund
     Registration Statement File No. 33-46503
     CIK No.:  000885408

Dear Sir/Madam:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the form of Prospectus and Statement of Additional
Information that would have been filed under paragraph (b) or (c) of this
section does not differ from that contained in the most recent amendment,
Post-Effective Amendment No. 6 to the Registration Statement,
electronically filed with the Securities and Exchange Commission on July
3, 1995.

                                                   Very truly yours,



                                                   Eric B. Fischman
                                                   Assistant Secretary

cc:  Ernst & Young
     Stroock & Stroock & Lavan