DREYFUS TREASURY PRIME CASH MANAGEMENT, 497J, 1996-07-05

DREYFUS TREASURY PRIME CASH MANAGEMENT
497J, 1996-07-05

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                   DREYFUS TREASURY PRIME CASH MANAGEMENT


                                                   July 5, 1996



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

Attn:  FILINGS - RULE 497(j)

RE:  Dreyfus Treasury Prime Cash Management 
     Registration Statement File No. 33-25941
     CIK No.  000843781

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. 12 to the Registration Statement,
electronically filed with the Securities and Exchange Commission on June
27, 1996.

                                                   Very truly yours,



                                                   Eric B. Fischman
                                                   Assistant Secretary

cc:  Ernst & Young
     Stroock & Stroock & Lavan