McCleery is a surname. Notable people with the surname include:
Alan McCleery (born 1929), Canadian sprint canoerAlbert McCleery (1911–1972), American television producerFinnis D. McCleery (1927–2002), United States Army soldier of the Vietnam WarJames McCleery (1837–1871), American politicianJoe McCleery, Irish football managerMichael McCleery (born 1959), American actorMick McCleery, American film directorWilliam McCleery (1887–1957), Northern Irish politician