DREYFUS BASIC MUNICIPAL MONEY MARKET FUND INC /MD/, 497J, 1996-05-06

DREYFUS BASIC MUNICIPAL MONEY MARKET FUND INC /MD/
497J, 1996-05-06

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                     DREYFUS BASIC MUNICIPAL FUND, INC.


                                                   May 6, 1996



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

Attn:  FILINGS - RULE 497(j)

RE:  Dreyfus BASIC Municipal Fund, Inc./Dreyfus BASIC New Jersey
     Municipal Money Market Portfolio
     Registration Statement File No. 33-42162
     CIK No.  000878092

Dear Sir/Madam:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the form of Prospectus for Dreyfus BASIC New Jersey Municipal
Money Market Portfolio, only, and Statement of Additional Information for
the Fund 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. 10 to the Registration Statement,
electronically filed with the Securities and Exchange Commission on April
1, 1996.

                                                   Very truly yours,



                                                   George P. Attisano


cc:  Ernst & Young
     Stroock & Stroock & Lavan