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Seward & Kissel
One Battery Park Plaza
New York, New York 10105
February 3, 1998
Securities and Exchange Commission
450 Fifth Avenue, N.W.
Washington, D.C. 20549
Alliance Premier Growth Fund, Inc.
(File Nos. 33-49530 and 811-06730)
_____________________________________________
Dear Sirs:
This letter is filed pursuant to Rule 497(j) under
the Securities Act of 1933 and is certification that the
Prospectus and Statement of Additional Information with
respect to the above referenced fund does not differ from
those filed in the most recent post-effective amendment, the
text of which was filed electronically.
Very truly yours,
/s/ Dominick H. Answini
00250118.AQ9
