Cragg is a surname. Notable people with the surname include:
Alistair Cragg (born 1980), South African-born Irish long-distance runner
Dan Cragg (born 1939), American writer
Edward "Porky" Cragg (1919-1943), American fighter ace of World War II
Edward Joseph Cragg (1887-1953), civil servant, businessman and political figure in Nova Scotia, Canada
Ernest T. Cragg (1922-2006), American Major General, United States Air Force
John Cragg (1767–1854), English ironmaster
Kenneth Cragg (1913–2012), British Anglican priest and scholar
Stephen Cragg, American television producer and director
Tony Cragg (born 1949), English artist
