SEARS MUNICIPAL TRUST INSURED LONG TERM SERIES 41
497J, 1997-06-26
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                                   Rule 497(j)
                                   Reg. No. 33-27810

Pursuant to Rule 497(j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust, Insured
National Portfolio Series 41, hereby certifies as follows:

1)   the form of prospectus that would have been filed under
paragraph (b) of Rule 497 does not differ from that contained in
the most recent amendment to the registration statement, and

2)   the text of the said amendment to the registration statement
has been filed electronically.


                         Dean Witter Select Municipal Trust,
                         Insured National Portfolio Series 41
                         (Registrant)

                         By:  Dean Witter Reynolds         
                         Incorporated


                         Thomas Hines
                         Thomas Hines
                         First Vice President
                         Authorized Signatory


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





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