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                                                     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 of each
month.  The distribution date remains unchanged.


          The prospectus included in the Registration Statement
for Dean Witter Select Municipal Trust, Kentucky Portfolio
Series 1 and North Carolina Portfolio Series 4, Registration
Nos. 33-25838 and 33-25278, respectively is hereby incorporated
by reference herein.



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