James Cecil Odom (July 16, 1921 – January 18, 1989) was a professional baseball umpire who worked in the American League from 1965 to 1974. Odom umpired 1,597 major league games in his 10-year career. He umpired in the 1971 World Series, two League Championship Series (1970 and 1973) and the 1968 Major League Baseball All-Star Game.