Western Asset Municipal High Income Fund (MHF) N-CSR Certified annual shareholder report (management investment company)

CERTIFICATIONS PURSUANT TO SECTION 906

EX-99.906CERT

CERTIFICATION

Jane Trust, Chief Executive Officer, andChristopher Berarducci,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 FormN-CSR for the period ended October 31, 2019 (the “FormN-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 FormN-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/ Christopher Berarducci
Jane Trust	Christopher Berarducci
Date: December 30, 2019	Date: December 30, 2019

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 FormN-CSR with the Commission.