CERTIFICATIONS PURSUANT TO SECTION 906

EX-99.906CERT

CERTIFICATION

R. Jay Gerken, Chief Executive Officer, and Andrew B. Shoup, Chief Administrative Officer of Smith Barney Appreciation Fund Inc. (the “Registrant”), each certify to the best of his knowledge that:

1. The Registrant’s periodic report on Form N-CSR for the period ended June 30, 2004 (the “Form N-CSR”) fully complies with the requirements of section 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Form N-CSR fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Chief Executive Officer	Chief Administrative Officer
Smith Barney Appreciation Fund Inc.	Smith Barney Appreciation Fund Inc.
/s/ R. Jay Gerken	/s/ Andrew B. Shoup
R. Jay Gerken	Andrew B. Shoup
Date: September 9, 2004	Date: September 9, 2004

This certification is being furnished to the Securities and Exchange Commission solely pursuant to 18 U.S.C. § 1350 and is not being filed as part of the Form N-CSR with the Commission.