Anstead is a surname. Notable people with the surname include:

Ant Anstead (born 1979), English television presenter Harry Lee Anstead (born 1937), American judge, Justice of the Florida Supreme Court from 1994 to 2009 Nick Anstead (born 1981), British academic, currently a Politics lecturer at the University of East Anglia Walter Anstead (1845–1933), English cricketer

See also Anstead, Queensland, outer suburb of Brisbane, Australia, named after the original land owner John Anstead Ansted (disambiguation)