| Henry H. Gilmore | |
| Office: | Mayor of Cambridge, Massachusetts |
| Term Start: | January 1889 |
| Term End: | January 1891 |
| Predecessor: | William Russell |
| Successor: | Alpheus B. Alger |
| Office2: | Member of the Massachusetts State Senate Third Middlesex District |
| Office3: | Member of the Cambridge, Massachusetts Board of Aldermen Ward II |
| Term Start3: | 1880 |
| Term End3: | 1881 |
| Office4: | Member of the Cambridge, Massachusetts Common Council Ward II |
| Term Start4: | 1870 |
| Term End4: | 1870 |
| Office5: | Member of the Medford, Massachusetts Board of Selectmen |
| Term Start5: | 1866 |
| Term End5: | 1866 |
| Office6: | Assessor of the Town of Medford, Massachusetts |
| Term Start6: | 1862 |
| Term End6: | 1862 |
| Term Start7: | 1866 |
| Term End7: | 1866 |
| Party: | Democratic |
| Birth Date: | August 31, 1832 |
| Death Date: | December 24, 1891 |
| Spouse: | Sarah D. Todd |
Henry H. Gilmore (August 31, 1832 – December 24, 1891) was a Massachusetts businessman and politician who served on the Board of Selectmen of the Town of Medford, Massachusetts, and as the Mayor of The City of Cambridge, Massachusetts.
Gilmore was born in Warner, New Hampshire, on August 31, 1832, to Mitchel and Czarina (Currier) Gilmore. He married Sarah D. Todd in Charlestown, Massachusetts on May 19, 1858.
Gilmore served on various town and city offices in Medford, Massachusetts, and Cambridge, Massachusetts. In Medford, Massachusetts he was a member of the Board of Selectmen, Overseer of the Poor, Highway Surveyor and Assessor. In Cambridge he was a member of the Common Council and Board of Aldermen. Gilmore also represented Cambridge and the Third Middlesex District in the Massachusetts State Senate. In 1885 Gilmore was the Democratic party nominee for the office of Lieutenant Governor of Massachusetts