McCleery is a surname. Notable people with the surname include:
Alan McCleery (born 1929), Canadian sprint canoer
Albert McCleery (1911–1972), American television producer
Finnis D. McCleery (1927–2002), United States Army soldier of the Vietnam War
James McCleery (1837–1871), American politician
Joe McCleery, Irish football manager
Michael McCleery (born 1959), American actor
Mick McCleery, American film director
William McCleery (1887–1957), Northern Irish politician
