Weightman is an English surname. Notable people with the surname include:
Dale Weightman (born 1959), Australian rules footballer
Gavin Weightman (born 1945), British journalist and historian
George W. Weightman, U.S. Army Family Medicine physician
Laura Weightman (born 1991), English middle-distance runner
Lisa Jane Weightman, Australian long-distance runner
Roger Chew Weightman (1787–1876), American politician, civic leader, and printer
William Weightman (1813–1904), chemical manufacturer
William Weightman, love interest of Anne Brontë