Spackman is an English surname. Notable people with the surname include:
Carol Spackman Moss, American politician Charles Spackman (1891–1969), English recipient of the Victoria Cross Charles Spackman Barker (1806–1879), British inventor and organ builder Clare S. Spackman (1909–1992), American occupational therapist Isaac Spackman (d. 1771), English painter and illustrator Kerry Spackman (b. 1956), New Zealand cognitive neuroscientist Marc Spackman (b. 1979), English swimmer Nigel Spackman (b. 1960), English football manager Victoria Spackman, New Zealand creative director and business executive W. M. Spackman (1905–1990), American writer