Bill "Bull" Davidson (January 21, 1935 – May 2, 1999) was an American football player and coach and college athletics administrator.

Davidson coached his 1975 team to a perfect season during its first year at the NCAA Division I level and was later inducted into the Arkansas Sports Hall of Fame.

Davidson amassed a 51–32–1 record as head coach of the Arkansas State Indians, now the Red Wolves, football team from 1971 to 1978.

Davidson also participated in an 11–0 perfect season as an assistant coach in 1970, with the team earning the NCAA College Division national championship.

In 1975, ASU moved to NCAA Division I and dominated all eleven teams they faced that year by a combined score of 355–81.