Craig Mitchell Handy (born 1962) is an American post-bop tenor saxophonist.

Born in Oakland, California, Handy attended North Texas State University from 1981 to 1984, and following this played with Art Blakey, Wynton Marsalis, Roy Haynes, Abdullah Ibrahim, Elvin Jones, Joe Henderson, Betty Carter, George Adams, Ray Drummond, Conrad Herwig, Dee Dee Bridgewater, and David Weiss among many others. He is a member of the Mingus Big Band, Mingus Dynasty, and Mingus Orchestra.