Joseph or Joe Craven may refer to:
Joe Craven (footballer) (1903–1972), English football player Joe Craven, American folk, world and roots musician Joseph Craven (Master of Sidney Sussex College, Cambridge) (1661–1728), Master of Sidney Sussex 1723–1728 Joseph Craven (politician) (1825–1914), British Member of Parliament
See also Joe Cravens (born 1954), American basketball coach