Joseph Arthur Nelson (March 16, 1927 – July 20, 2009) was an American basketball player. He was an All-American college player at Brigham Young University (BYU). Nelson came to BYU from Spanish Fork, Utah, after he had spent 16 months in the military during World War II. Nelson competed for BYU in basketball and track, and in his sophomore season of 1947–48, Nelson set the Skyline Conference single-game scoring record with a 37-point outing against Denver. For his career, Nelson was a three-time all-conference pick and led the league in scoring in 1948 and 1949. He was named an All-American by the Helms Athletic Foundation in 1948.