70 rows · This is a complete listing of National Basketball Association players who have scored 60 or more points in a game.. This feat has been accomplished 68 times in NBA history. Twenty-five different players have scored 60 or more points in a game. A high school basketball player in Winston-Salem, N.C., who was grieving over his grandfather's murder scored 61 points in his honor — one for each year that the man was alive. Points in basketball are used to keep track of the score in a game. Points can be accumulated by making field goals (two or three points) or free throws (one point). If a player makes a field goal from within the three-point line, the player scores two points.