McCloskey is a surname. Notable people with the surname include:
McCloskey (baseball), American baseball playerC. John McCloskey, Catholic priest and member of Opus DeiDeirdre McCloskey (born 1942), American economistDelamere Francis McCloskey (1897–1983), Canadian-born Los Angeles City CouncilmanFrank McCloskey (1939–2003), Indiana politicianCountry McCloskey (fl. 1841-1850), American bare-knuckle boxerJack McCloskey (born 1925), American basketball coachJohn McCloskey (1810–1885), Catholic archbishopLeigh McCloskey (born 1955), American actorPaul McCloskey (born 1979), Irish boxerPete McCloskey (born 1927), California politicianRobert McCloskey (1914–2003), American author and illustratorRobert J. McCloskey (1922–1996), American statesman and ambassadorWilliam George McCloskey (1823-1909), American Catholic Bishop