INSURED MUNICIPALS INCOME TRUST 125TH INSURED MULTI SERIES, 497J, 1998-10-29

INSURED MUNICIPALS INCOME TRUST 125TH INSURED MULTI SERIES
497J, 1998-10-29

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                            October 29, 1998
                                    
                                    
                                    
Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C.  20549-1004

Attn:  Filing Desk - Stop 1-4
     
     Re:  Insured Municipals Income Trust, 125th Insured Multi-Series
          File No. 33-52180   CIK #891809

Ladies/Gentlemen:
     
      In accordance with the provisions of Rule 497(j) of Regulation C under
the Securities Act of 1933 (the "Securities Act") this letter serves to certify
that the most recent amendment to the subject Registration Statement on Form S-6
for the above captioned Trust does not differ from that which would have been
filed pursuant to Rule 497(b) of the Securities Act. The most recent amendment
to the Registration Statement was filed electronically with the commission on
October 26, 1998.

                                    Very truly yours,
                                    
                                    
                                    
                                    
                                    Van Kampen Funds Inc.