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                                                  Rule 497(d)

               DEAN WITTER SELECT MUNICIPAL TRUST
                    SUPPLEMENT TO PROSPECTUS
                         APRIL 4, 1994


          The record date for each series of the Dean Witter
Select Municipal Trust has been changed to the 9th day of each
month.  The distribution date remains unchanged.


          The prospectus included in the Registration Statement
for Dean Witter Select Municipal Trust, Long Term Portfolio
Series 71 is hereby incorporated by reference.



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