DEAN WITTER INTERMEDIATE TERM US TREASURY TRUST, 497J, 1998-05-04

DEAN WITTER INTERMEDIATE TERM US TREASURY TRUST
497J, 1998-05-04

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







                                   May 4, 1998


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

Re:  Dean Witter Intermediate Term US Treasury Trust
     File #33-57789
     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  April
29, 1998.


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



cc: Randolph Koch
    Barry Fink