Cameron Payne scored 13 and had six assists for the Racers (1-1).
The Racers outshot the Blue Raiders 48.2 percent to 18.2 percent from the field, but Middle Tennessee made 24 of 25 free throws.
Jacques Rozier led the Blue Raiders (1-1) with 14 points and grabbed 11 rebounds. Reggie Upshaw added 11 points.
The Blue Raiders led 18-17, but the Racers replied with an 11-2 run and led 37-25 at halftime.
Payne hit two 3-pointers in Murray State's 11-4 run to open the second half. Williams hit three straight buckets in a 10-2 run the Racers used to finish the game.