INSURED MUNICIPAL SECURITIES TRUST 32ND DISCOUNT SERIES
497J, 1995-12-04
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                                                                    Rule 497(j)
                                                      Registration No. 33-16498



REICH & TANG DISTRIBUTORS L.P.
600 Fifth Avenue
New York, New York 10020
(212) 830-5400





                                 December 4, 1995


VIA EDGAR

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

                  Re:   Insured Municipal Securities Trust, 32nd
                        Discount Series
                        F le No. 33-16498

Gentlemen:

            As Sponsor of the above-referenced Trust, we are writing
this letter to certify that:

            (1) the form of Prospectus that would have been filed
under Rule 497(b) of the Securities Act of 1933, does not differ
from that contained in the most recent Post-Effective Amendment to
the Registration Statement on Form S-6 (the "Registration
Statement"), and

            (2) the text of the most recent Registration Statement was
filed electronically with the Securities and Exchange Commission on
October 27, 1995 and became effective October 31, 1995 pursuant to
Rule 485(b).

                                    Insured Municipal Securities Trust,
                                    32nd Discount Series


                                    REICH & TANG DISTRIBUTORS L.P.


                                    By:
                                          Peter J. DeMarco
                                          Authorized Signatory

322022.1


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