James Joseph Gleeson (March 5, 1912 – May 1, 1996) was an American outfielder, scout and coach in Major League Baseball.
As a player, he was a switch-hitter who threw right-handed, stood 6 ft 1 in (1.85 m) (185 cm) tall and weighed 190 pounds (86 kg).
Gleeson played all or parts of five seasons (1936; 1939–42) in Major League Baseball for the Cleveland Indians, Chicago Cubs and Cincinnati Reds.
Overall, Gleeson appeared in 392 Major-League games, batting .263 with 16 home runs and 154 RBI.
Although he worked for a time for his "hometown" Kansas City Athletics as a scout and Major League coach (1957), he spent much of his career in the New York Yankees' organization, serving as the first-base coach on Yogi Berra's staff during the Yanks' 1964 pennant-winning season.