Crudup is a surname. Notable people with the surname include:
Arthur Crudup (1905–1974), Delta blues singer-songwriter and guitarist Billy Crudup (born 1968), American actor Byrd D. Crudup (1897–1960), American football and basketball coach Derrick Crudup (born 1965), American football player Jevon Crudup (born 1972), American basketball player and coach Josiah Crudup (1791–1872), U.S. Congressman Ronnie Crudup Jr. (born 1977), American politician