Harry Simpson was a 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