Cunneen is a surname. Notable people with the surname include:
Dan Cunneen (born 1963), American musician
John Cunneen (1848–1907), American lawyer and politician
John Cunneen (bishop) (1932–2010), New Zealand prelate
Margaret Cunneen (born 1959), Australian barrister and prosecutor
Peter Cunneen (1926–2007), Australian speedway driver
Shannon Cunneen (born 1977), Australian cricket player