Targett is a surname. Notable people with the surname include:
Archibald Targett (1862–1931), Canadian politician Ben Targett (born 1972), Australian cricketer Katie Targett-Adams, Scottish singer and Celtic harpist Matt Targett (born 1985), Australian swimmer Matt Targett (born 1995), English footballer Scott Targett, Canadian businessman Simon Targett (born 1964), English historian, lecturer and freelance journalist Walter Targett (1849–1918), English-born Australian politician