Wright had 20 points and eight rebounds to lead NDSU (16-5, 5-1 Summit) and Braun added 11 points.
Lawrence Alexander was 3 of 3 from 3-point range and finished with 12 points for the Bison who shot 6 of 13 as a team from long distance. NDSU trailed 61-56 before going on a 10-2 run to close out the game.
South Dakota (8-12, 3-3) had been trailing for 25 minutes when Trey Norris' layup pulled the Coyotes even at 52. They took their first lead since the early minutes at 57-56 on Brandon Bos' jumper with 5:28 left which sparked a 6-0 run.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.