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).

[citation needed] A line-drive hitter, Gleason delivered a pinch-hit single and stole a base in his first major league at-bat with the Boston Americans.

His most productive season came with the 1905 St. Louis Browns, when he played a career-high 150 games including 144 as the team's regular third base, while hitting 17 extrabases with 45 runs and 57 RBI, also career-numbers.

[citation needed] Gleason died at his hometown of Camden, New Jersey at age 86.

This biographical article relating to an American baseball outfielder born in the 1870s is a stub.