Wichita State (11-5, 5-0 Missouri Valley) led 37-36 at the half then used a 16-3 run out of the break to go up 53-39 on Rauno Nurger's jumper with 12:38 to play.
Conner Frankamp hit consecutive 3s and Evan Wessel buried a 3 to make the score 62-44.
Missouri State (6-11, 2-3) sped to a 15-4 lead early when Dequon Miller hit a 3 with 13:58 to play before halftime. The Shockers battled back and Rarshard Kelly's tip-in basket with 28 second before halftime gave Wichita State the lead for good.
Frankamp and Ron Baker each had 14 points for the Shockers as they shot 32 for 67 (47.8 percent) from the floor.
Miller scored 17 points for the Bears while Camyn Boone and Ryan Kreklow each had 10.