For the Hungarian rabbi, see Joseph Bach.

Joseph Anthony Bach (January 17, 1901 - October 24, 1966) was one of Notre Dame's famed "seven mules" and later the head coach for the NFL's Pittsburgh Pirates (1935-36) and Pittsburgh Steelers (1952-53).

At Notre Dame he was a defensive lineman on the 1924 National Title team—the first Irish team to win a championship, and had a pivotal role in Notre Dame's first Rose Bowl trip.

He became the Pirates coach in 1935 directing the young franchise to their best record yet at 4 wins and 8 losses followed by the 1936 campaign in which he coached the Pirates to their first ever non-losing season at 6 wins and 6 losses. He retired following 1936 to go back into college football.

In 1952 he once again became the head coach for the Steelers and this time installed the T-formation for the team, Pittsburgh had been the last franchise to operate the single wing. He continued as head coach through the 1954 season. He produced a 5-7 result during his first and last season with the team but in 1953 posted a .500 record with a 6 win and 6 loss season.