<DOCUMENT>
<TYPE>EX-99.906
<SEQUENCE>5
<FILENAME>ex99906.txt
<DESCRIPTION>CERTIFICATION UNDER SECTION 906
<TEXT>

CERTIFICATIONS PURSUANT TO SECTION 906
EX-99.906CERT

                                  CERTIFICATION

R. Jay Gerken, Chief Executive Officer, and Richard L. Peteka, Chief Financial
Officer of Municipal High Income 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
October 31, 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
Municipal High Income Fund Inc.           Municipal High Income Fund Inc.


/s/ R. Jay Gerken                         /s/ Richard L. Peteka
---------------------------------         --------------------------------------
R. Jay Gerken                             Richard L. Peteka
Date: December 30, 2003                   Date: December 30, 2003

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.

</TEXT>
</DOCUMENT>
