CERTIFICATIONS PURSUANT TO SECTION 906

EX-99.906CERT

CERTIFICATION

Jane Trust, Chief Executive Officer, and Richard F. Sennett, Principal Financial Officer of Western Asset Municipal High Income Fund Inc. (the “Registrant”), each certify to the best of their knowledge that:

1. The Registrant’s periodic report on Form N-CSR for the period ended April 30, 2016 (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	Principal Financial Officer
Western Asset Municipal High income Fund Inc.	Western Asset Municipal High Income Fund Inc.
/s/ Jane Trust	/s/ Richard F. Sennett
Jane Trust	Richard F. Sennett
Date: June 20, 2016	Date: June 20, 2016

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.