Henry Bleecker Metcalfe (born January 20, 1805) was a Democratic member of the United States House of Representatives from New York. He represented New York’s 1st Congressional District and served a single term in the Forty-fourth Congress. His tenure in federal office places him among the historical members of Congress from the state of New York in the post–Civil War era.

Metcalfe’s service in Congress began on December 6, 1875, and concluded on March 3, 1877. During this period, he held the role of Representative as a member of the Democratic Party. Although details of his committee assignments, legislative initiatives, and activities outside Congress are not provided in the available record, his term in office marks his principal known contribution to national public life. After leaving Congress, he is recorded as a former officeholder, with no further federal positions documented in the provided metadata.