Wilt Chamberlain's Scoring Record. In a basketball game played here on March 2, 1962, Philadelphia Warriors center Wilt Chamberlain scored 100 points against the New York Knicks-- a record for points scored by a single player in any National Basketball Association game, 169-147, in front of 4,124 fans. During that season, Chamberlain set other records by averaging 50.4 points per game and by scoring more that 50 points in each of 45 games.