Mississippi State (2-4) shot 40 percent from the field (18 of 45) and hit 22 of 33 free throws, shaking off a 0-3 effort at the Maui Invitational last week. Roquez Johnson added 13 points for the Bulldogs.
Alcorn State (2-5) struggled to hit 15 of 51 shots from the field (29.4 percent).
Anthony Evans led Alcorn State with 12 points. LeAntwan Luckett added 11 points.
Mississippi State opened the game on a 13-2 run and led 37-21 at halftime. The Bulldogs dominated the second half and trailed only once on the opening bucket of the game.