WITTER DEAN TAX EXEMPT SECURITIES TRUST, 497J, 1998-04-24

WITTER DEAN TAX EXEMPT SECURITIES TRUST
497J, 1998-04-24

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             DEAN WITTER TAX-EXEMPT SECURITIES TRUST
                     Two World Trade Center
                    New York, New York  10048
                         (212) 392-1600


                                             April 24, 1998


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

Re:  Dean Witter Tax-Exempt Securities Trust
     File #811-2979
     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
17, 1998.


                                             Very truly yours,
                                    /s/ Frank Bruttomesso
Frank Bruttomesso
                                        Assistant Secretary


cc: Barry Fink
    Randolph Koch