Cleanthony Early and Carl Hall added 18 points apiece, and Demetric Williams scored 14 for the Shockers (24-5), who shot 55 percent from the field.
Ray McCallum scored 29 points, Nick Minnerath had 25 and Doug Anderson 11 for Detroit (18-10). The Titans shot 45 percent from the field but made just 7 of 16 free throws.
Wichita State led by 11 at halftime before Detroit cut the deficit to 63-62 with 12:39 remaining. The Shockers then closed the game with a 31-17 run, including eight straight free throws down the stretch.