Henry John D'Amore (July 17, 1919 – May 12, 1994) was a Canadian ice hockey centre.
He played 4 games in the National Hockey League with the New York Rangers during the 1943–44 season.
The rest of his career, which lasted from 1938 to 1948, was spent in the minor leagues.
He was born in Niagara Falls, Ontario, and his brother, Nick Damore, also played in the NHL.
This biographical article relating to a Canadian ice hockey centre born in the 1910s is a stub.