PRUDENTIAL BACHE SPECIAL MONEY MARKET FUND, 497J, 1994-09-06

PRUDENTIAL BACHE SPECIAL MONEY MARKET FUND
497J, 1994-09-06

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                              September 2, 1994



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

          RE:  Prudential Special Money Market Fund
               (File No. 33-31603; 811-5951)


Ladies and Gentlemen:
     
     Pursuant to subparagraph (j) of Rule 497 under the Securities
Act of 1933 (the "1993 Act"), the Fund hereby certifies (i) that
its Prospectus and Statement of Additional Information that would
have been filed pursuant to Rule 497(c) would not have differed
from the Prospectus and Statement of Additional Information
contained in Post-Effective Amendment No. 7 and (ii) that the text
of Post-Effective Amendment No. 7 was filed electronically on
August 30, 1994.


                              Prudential Special Money Market Fund




                              By:/s/Domenick Pugliese             

                                 Domenick Pugliese
                                 Assistant Secretary