Rex Bernice Baxter, Jr. (born February 28, 1936) is an American professional golfer who played on the PGA Tour and the Senior PGA Tour. A native of Amarillo, Texas, Baxter won the U.S. Junior Amateur at Tulsa's Southern Hills Country Club in 1953. He attended the University of Houston, where he was an All-American member of the golf team and individually the 1957 NCAA national champion. He won the Cajun Classic Open Invitational in 1963 and the PGA Professional National Championship in 1970. His best finish in a major is T-33 at the 1960 U.S. Open.