Elections to the Baseball Hall of Fame for 1951 followed the same rules as 1950. The Baseball Writers' Association of America (BBWAA) voted once by mail to select from major league players retired less than 25 years. It elected two, Jimmie Foxx and Mel Ott. Meanwhile, the Old-Timers Committee, with jurisdiction over earlier players and other figures, did not meet. A formal induction ceremony was held in Cooperstown, New York, on July 23, 1951, with National League president Ford Frick in attendance.

James Emory Foxx, nicknamed "Double X" and "the Beast", was an American professional baseball first baseman who played 20 seasons in Major League Baseball (MLB) for the Philadelphia Athletics, Boston Red Sox, Chicago Cubs, and Philadelphia Phillies. A tremendous power hitter, Foxx retired with the second most home runs, behind only Babe Ruth, and fifth-most runs batted in (RBI). His greatest seasons were with the Philadelphia Athletics and the Boston Red Sox, where he hit a then-record 30 or more home runs in 12 consecutive seasons and drove in more than 100 runs in 13 consecutive years.