Justan Banks had a near double-double, 10 points and nine rebounds to help Alabama A&M (10-18, 6-11 Southwestern Athletic Conference) snap a three-game skid.
The Bulldogs scored the first 11 points of the game and led at halftime 32-17.
Grambling State shot just 21.9 percent (7 of 32) in the first half.
Alabama A&M led by as many as 30 points in the second half.
The Bulldogs had the advantage inside, outrebounding the Tigers 45-30 and outscoring them 34-22 in the paint.
Nicholas West scored eight points off the bench, helping Alabama A&M lead 27-21 in bench points.
Grambling State (0-26, 0-17) did not have any players in double figures. Bryant Purvis led the Tigers in scoring with nine points.
Maryland point guard Melo Trimble has withdrawn from the NBA draft and will return to College Park for his junior season, sources told ESPN.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.