SEARS MUNICIPAL TRUST NEW YORK PORTFOLIO SERIES 37
497, 1996-01-16
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                                                  Rule 497(d)

               DEAN WITTER SELECT MUNICIPAL TRUST
               TEXAS PORTFOLIO SERIES 10 (INSURED)
                  NEW YORK PORTFOLIO SERIES 37

                    SUPPLEMENT TO PROSPECTUS
                     DATED JANUARY 16, 1996


          The sales charge in the secondary market will
reflect different rates depending upon the maturities of the
various underlying Securities as follows:

                         (as percent of bid  (as percent of
Time to Maturity          side evaluation)   Offering Price

Less than 1 year                       0%                0%
Over 1 year to 2 years             0.756%             0.75%
Over 2 years to 3 years            1.523%             1.50%
Over 3 years to 6 years            2.564%             2.50%
Over 6 years to 10 years           3.627%             3.50%
Over 10 years to 14 years          4.712%             4.50%
15 years and over                  5.820%             5.50%

     The prospectus included in the Registration Statement for
Dean Witter Select Municipal Trust, Texas Portfolio Series 10
(Insured) and New York Portfolio Series 37 is hereby incorporated
by reference.



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