Martin and Baldwin combined to shoot 12 of 22 from the field and Butler (6-2) shot 49.1 percent (26 of 53). Butler led 8-0 and never trailed. Javon Bess made a pair of free throws 4 1/2 minutes into the game for Saint Louis' (3-4) first points.
Butler closed the half on a 6-0 run for a 42-13 led and were never challenged the rest of the way. The Billikens now have lost four straight by an average margin of 18.2 points per game.
Javon Bess scored 22 points and had 10 rebounds for Saint Louis.
The NCAA has granted Florida State forward Phil Cofer's request for another year of eligibility.
Kansas State's Barry Brown Jr. has withdrawn from the NBA draft and will return to the Wildcats for his senior season.
New High Point coach Tubby Smith has hired his son G.G. as his associate head coach.