Green turned pro in 1979 and joined the PGA Tour in 1980. He had five tournament victories on the PGA Tour; all five came in the mid to late 1980s. His first win came in 1985 at the Buick Open, and his last was at the Kmart Greater Greensboro Open in 1989. His best year in professional golf was 1988, when he won two events on the PGA Tour, as well as the Dunlop Phoenix in Japan. His best finish in a major was a seventh-place tie at the 1996 U.S. Open. Green also played on the U.S. team in the 1989 Ryder Cup.