John Day Gleason (July 14, 1854 – September 4, 1944) was a 19th-century professional baseball player who primarily played third base.

Gleason appeared in one game for the St. Louis Brown Stockings of the National League in 1877, that team's last season.

[1] He then played in the American Association for the St. Louis Browns in 1882 and the beginning of 1883 and the Louisville Eclipse for the majority of 1883.

From 1884–1885 Gleason played for the St. Louis Maroons during their only season in the Union Association and their first in the National League.

This biographical article relating to an American baseball third baseman is a stub.