Spackman is an English surname. Notable people with the surname include:
Charles Spackman (1891–1969), English soldier, recipient of the VC
Isaac Spackman (d. 1771), English painter and illustrator
Kerry Spackman (b. 1956), New Zealand cognitive neuroscientist
Marc Spackman (b. 1979), English Olympic swimmer
Nigel Spackman (b. 1960), English football manager
Samantha Spackman (b. 1991), Australian footballer