NUVEEN TAX FREE UNIT TRUST SERIES 1049, 497J, 1998-12-17

NUVEEN TAX FREE UNIT TRUST SERIES 1049
497J, 1998-12-17

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                                                               DECEMBER 17, 1998
 
(ON CHAPMAN AND CUTLER LETTERHEAD)
 
SECURITIES AND EXCHANGE COMMISSION
450 FIFTH STREET, N.W.
WASHINGTON, D.C. 20549
 
RE:  Nuveen Unit Trust, Series 1049
 
     File No. 333-68565
 
     Dear Sir or Madam:
 
     On behalf of John Nuveen & Co. Incorporated, 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 Registration Statement on Form S-6 (the "Registration
     Statement") of the above-referenced Series does not differ from that which
     would have been filed pursuant to Rule 487(b) of the Securities Act.
     Amendment No. 1, which was the most recent amendment to the Registration
     Statement, was filed electronically with the Commission on December 17,
     1998.
 
     Very truly yours,
 
     Chapman and Cutler