Clatworthy is a surname. Notable people with the surname include:
Menna Clatworthy, British immunologist Fred Payne Clatworthy (1875–1953), American photographer Jodie Clatworthy (born 1972), Australian swimmer Robert Clatworthy (art director) (1911–1992), American art director Robert Clatworthy (sculptor) (1928–2015), British sculptor W. H. Clatworthy (1915–2010), American mathematician