William J. Perigo (September 17, 1911 – February 7, 1990) was an American basketball player and coach. He played college basketball for Western Michigan University from 1931 to 1934 and professional basketball for the Indianapolis Kautskys from 1934 to 1936. Perigo also worked as a basketball coach for more than 25 years. He was the basketball coach at Benton Harbor High School for 13 years and led the team to the Michigan Class A state championship in 1941. He was the head basketball coach at Western Michigan University (1949–1952) and the University of Michigan (1952–1960). In 1983, he was inducted into the Indiana Basketball Hall of Fame.