Clowney is a Scottish and English surname. Notable people with the surname include:

David Clowney (born 1985), American football player Edmund Clowney (1917–2005), American theologian, educator, and pastor Jadeveon Clowney (born 1993), American football player Noah Clowney (born 2004), American basketball player William K. Clowney (1797–1851), American politician