Leavey is a surname. Notable people with the surname include:
Dorothy Leavey (1897–1998), American philanthropist
Herbert Leavey, English footballer
James Leavey (born 1947), British writer and journalist
Maria Leavey (1954–2006), American political consultant
Nick Leavey (born 1986), British sprinter
Thomas E. Leavey (died 1980), American philanthropist
Tony Leavey (1915–1999), British businessman and politician