WITTER DEAN TAX EXEMPT SECURITIES TRUST
497, 1995-05-26
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                                                Filed Pursuant to Rule 497(e)
                                                Registration File No.: 2-66268




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                       SUPPLEMENT TO THE PROSPECTUS OF
                   DEAN WITTER TAX-EXEMPT SECURITIES TRUST
                           DATED FEBRUARY 27, 1995

   The Fund's Trustees have approved the resumption of the offering of shares
of Dean Witter Tax-Exempt Securities Trust (the "Fund") to new investors
effective June 1, 1995, as well as continuing to offer shares of the Fund to
current shareholders. Accordingly, the disclosure in the Fund's Prospectus
pertaining to the suspension of the offering of shares of the Fund to new
investors is hereby deleted.

   In addition, the section of the Prospectus entitled "PURCHASE OF FUND
SHARES" is hereby amended by the addition of the following paragraph:

    Analogous Dean Witter Funds. The Distributor and the Investment
    Manager serve in the same capacities for Dean Witter National
    Municipal Trust, an open-end investment company with investment
    objectives and policies similar to those of the Fund. Unlike the Fund,
    however, shares of Dean Witter National Municipal Trust are offered to
    the public at net asset value, with a contingent deferred sales charge
    assessed upon redemptions within six years of purchase, as well as an
    annual Rule 12b-1 distribution fee, rather than a sales charge imposed
    at the time of purchase. These two Dean Witter Funds have differing
    fees and expenses, which will affect performance. Investors who would
    like to receive a prospectus for Dean Witter National Municipal Trust
    should call the telephone numbers listed on the front cover of this
    Prospectus, or may call their account executive for additional
    information.

May 26, 1995










     



                                                Filed Pursuant to Rule 497(e)
                                                Registration File No.: 33-53015




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                       SUPPLEMENT TO THE PROSPECTUS OF
                     DEAN WITTER NATIONAL MUNICIPAL TRUST
                           DATED NOVEMBER 21, 1994

   Effective June 1, 1995, the section of the Prospectus entitled "PURCHASE
OF FUND SHARES" is amended by the addition of the following paragraph:

    Analogous Dean Witter Funds. The Distributor and the Investment
    Manager serve in the same capacities for Dean Witter Tax-Exempt
    Securities Trust, an open-end investment company with investment
    objectives and policies similar to those of the Fund. Unlike the Fund,
    however, shares of Dean Witter Tax-Exempt Securities Trust are offered
    to the public with a sales charge imposed at the time of purchase,
    rather than a contingent deferred sales charge assessed upon
    redemptions within six years of purchase. These two Dean Witter Funds
    have differing fees and expenses, which will affect performance.
    Investors who would like to receive a prospectus for Dean Witter
    Tax-Exempt Securities Trust should call the telephone numbers listed
    on the front cover of this Prospectus, or may call their account
    executive for additional information.

May 26, 1995







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