CERTIFICATIONS PURSUANT TO SECTION 906
EX-99.906CERT

                                  CERTIFICATION

R. Jay Gerken, Chief Executive Officer, and Robert J. Brault, Chief Financial
Officer of Intermediate Muni 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 Financial Officer
Intermediate Muni Fund, Inc.              Intermediate Muni Fund, Inc.


/s/ R. Jay Gerken                         /s/ Robert J. Brault
---------------------------               --------------------------
R. Jay Gerken                             Robert J. Brault
Date: September 7, 2004                   Date: September 7, 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.