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.