A 6'8" power forward/center from the University of Wyoming, Nostrand played four seasons (1946-1950) in the National Basketball Association as a member of the Toronto Huskies, Cleveland Rebels, Providence Steamrollers, Boston Celtics, Tri-Cities Blackhawks, and Chicago Stags. He averaged 8.2 points per game in his professional career.
Nostrand is perhaps best known for appearing in a series of Canadian newspaper advertisements to promote the first National Basketball Association game, a November 1, 1946 contest between Nostrand's Toronto Huskies and the New York Knicks. The advertisements promised that anyone taller than Nostrand would receive free admission to the opening game. The contest drew 7,090 fans.
In total Nostrand scored 1,804 points in the NBA, made 184 assists, in 221 games.
He made three playoff apperances with the Cleveland Rebels.