Crimi is a surname of Italian origin, derived from the Greek name Klēmēs, itself derived from the Latin name Clemens. Notable people with the name include:

Alfred D. Crimi (1900–1994), Italian-American painter Carolyn Crimi (born 1959), American author of children's books Giulio Crimi (1885–1939), Italian opera singer Marco Crimi (born 1990), Italian footballer Vito Crimi (born 1972), Italian politician

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