WITTER DEAN SHORT TERM US TREASURY TRUST, 497J, 1996-07-29

WITTER DEAN SHORT TERM US TREASURY TRUST
497J, 1996-07-29

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         DEAN WITTER SHORT-TERM U.S. TREASURY TRUST
                     TWO WORLD TRADE CENTER
                    NEW YORK, NEW YORK 10048







                                   July 26, 1996


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

Re:  Dean Witter Short-Term U.S. Treasury Trust
     File #33-41187
     Rule 497(j) Filing                         

Dear Sir/Madam:

     On behalf of the Registrant, the undersigned certifies that
the form of Prospectus and Statement of Additional Information that
would have been filed under Section 497(c) would not have differed
from those contained in the text of the Registrant's most recent
registration statement that was filed electronically via EDGAR with
the Securities and Exchange Commission on July 23, 1996.


                                   Very truly yours,
                               /s/ Lou Anne D. McInnis     
                                   Lou Anne D. McInnis
                                   Assistant Secretary
                                   


cc: Randolph Koch
    Sheldon Curtis


yh:paras\shorterm\497j.96