Craft is a surname. Notable people with the surname include:
Aaron Craft (born 1991), American basketball player
Chris Craft (racing driver), British motor racing driver
Christine Craft (born 1944), American radio talk show host and former television anchorperson
Donnie Craft (born 1959), American football player
Ellen Craft (c. 1826 – c. 1891), slave from Macon, Georgia, whose escape was widely publicized
Jason Craft, American professional football cornerback
Juanita Craft (1902–1985), American civil rights pioneer
Kinuko Y. Craft (born 1940), American artist
Marcella Craft (1874–1959), American soprano
Melanie Craft (born 1969), American romance novelist
Nikki Craft (born 1949), American political activist
Percy Robert Craft (1856 – 1934), British painter associated with the Newlyn School of painters
Robert Craft (1923–2015), American conductor and writer on music
Russ Craft (1919–2009), American professional football defensive back
Shanice Craft (born 1993), German athlete
Shelley Craft (born 1976), Australian television personality
Tom Craft (born 1953), American football coach