Heaver is a surname. Notable people with the surname include:
Alfred Heaver (1841–1901), English carpenter turned "shadowy" builder and property developer Brent Heaver (born 1971), former Australian rules footballer John Heaver (died 1670), Anglican Canon of Windsor Michael Heaver (born 1989), British broadcaster and former politician Paul Heaver (born 1955), British-Canadian former ice hockey player