CERTIFICATIONS PURSUANT TO SECTION 906
EX-99.906CERT

                                  CERTIFICATION

R. Jay Gerken, Chief Executive Officer, and Richard Peteka, Chief Financial
Officer of Smith Barney Appreciation Fund Inc. (the "Registrant"), each certify
to the best of his or her knowledge that:

1. The Registrant's periodic report on Form N-CSR for the period ended June 30,
2003 (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 Financial Officer
Smith Barney Appreciation Fund Inc.         Smith Barney Appreciation Fund Inc.


/s/ R. Jay Gerken                           /s/ Richard Peteka
---------------------------                 ------------------------
R. Jay Gerken                               Richard Peteka
Date: August 28, 2003                       Date: August 28, 2003


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