The 1936–37 William & Mary Indians men's basketball team represented the College of William & Mary in intercollegiate basketball during the 1936–37 season. Under the third year of head coach Tom Dowler, the team finished the season 0–18, 0–13 in Southern Conference play. This was the 32nd season of the collegiate basketball program at William & Mary, whose nickname is now the Tribe. As of 2014, this has remained William & Mary men's basketball's worst single season record and winning percentage and its only winless season.