June 4, 1997
Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC 20549
Re: Dreyfus New Jersey Municipal Money Market Fund. Inc.
File Nos. 33-20891, 811-5527
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 to the Fund's
Registration Statement, electronically filed with the Commission on May 21,
1997.
Very truly yours,
Christine Brennan
CB\
cc: Ernst & Young LLP
Stroock & Stroock & Lavan LLP