Harry Simpson (1925–1979) was an American baseball player.

Harry Simpson may also refer to:

Harry Simpson (Australian footballer) (born 1928), Australian rules footballer for South Melbourne Harry Simpson (English footballer) (1875–?), English footballer for Crewe Alexandra and Stoke Harry Simpson (footballer, born 1869), Scottish footballer for Stoke Harry Simpson (footballer, born 1888) (1888–1951), Scottish footballer Harry Simpson (golfer) (1885–1955), English professional golfer Harry Simpson (politician) (1886–1967), municipal politician in East York, Ontario, Canada

See also Henry Simpson (disambiguation) Harold Simpson (disambiguation)