Craft is a surname. Notable people with the surname include:
Aaron Craft (born 1991), American basketball playerChris Craft (racing driver), British motor racing driverChristine Craft (born 1944), American radio talk show host and former television anchorpersonDonnie Craft (born 1959), American football playerEllen Craft (c. 1826 – c. 1891), slave from Macon, Georgia, whose escape was widely publicizedJason Craft, American professional football cornerbackJuanita Craft (1902–1985), American civil rights pioneerKinuko Y. Craft (born 1940), American artistMarcella Craft (1874–1959), American sopranoMelanie Craft (born 1969), American romance novelistNikki Craft (born 1949), American political activistPercy Robert Craft (1856 – 1934), British painter associated with the Newlyn School of paintersRobert Craft (1923–2015), American conductor and writer on musicRuss Craft (1919–2009), American professional football defensive backShanice Craft (born 1993), German athleteShelley Craft (born 1976), Australian television personalityTom Craft (born 1953), American football coach