CERTIFICATIONS PURSUANT TO SECTION 906
EX-99.906CERT



                                  CERTIFICATION

R. JAY GERKEN, Chief Executive Officer, and FRANCES M. GUGGINO, Chief Financial
Officer of The Salomon Brothers 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,
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 Financial Officer
The Salomon Brothers Fund Inc                    The Salomon Brothers Fund Inc


/s/ R. Jay Gerken                               /s/ Frances M. Guggino
- ---------------------------                     ----------------------
R. Jay Gerken                                   Frances M. Guggino
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. ss. 1350 and is not being filed as part of the Form
N-CSR with the Commission.