Harry Gilbert Gleason (March 28, 1875 – October 21, 1961) was a utility infielder/outfielder in Major League Baseball who played from 1901 through 1905 for the Boston Americans (1901–03) and St. Louis Browns (1904–05). Listed at 5' 6", 160 lb., Gleason batted and threw right-handed. He was born in Camden, New Jersey. His older brother, Kid Gleason, also was a major league player. In a five-season career, Gleason was a .218 hitter (206-for-944) with three home runs and 90 RBI in 274 games, including 88 runs, 24 doubles, 11 triples, and 31 stolen bases.