Evetts is a surname. Notable people with the surname include:
Deborah Evetts, English-born American fine bookbinder, and book conservator Dee Evetts, English haiku poet and writer Hayley Evetts (born 1976), English singer, television presenter and stage actor John Fullerton Evetts (1891–1988), British Army officer Julian Evetts (1911–1996), English cricketer Steve Evetts, American record producer Ted Evetts (born 1997), English darts player William Evetts (1847–1936), English cricketer