Williams was a two-time honorable mention Sporting News All-American selection, as well as a two-time All-Southeastern Conference and All-Louisiana selection. He was the Louisiana Player of the Year in 1986 and a first team NABC All-District selection in 1985. He was also the Louisiana Newcomer of the Year and SEC Freshman of the Year in 1985. He finished his two-year career with 1,046 points for a 15.8 average and 503 rebounds for a 7.6 average. In 1986 he averaged 17.8 points and 8.5 rebounds in leading LSU to the NCAA Final Four. He averaged 13.4 points and 6.6 rebounds in 1985. He was also the MVP of the 1986 SEC Tournament, averaging 24 points and 15 rebounds, including a tournament record 20 rebounds in one game. He was the 12th player selected in the first round of the 1986 NBA Draft.