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.
Indiana guard James Blackmon Jr., who averaged 15.8 points in 13 games before being injured last season, has withdrawn from the NBA draft.
Isaiah Briscoe has decided to withdraw from the NBA draft and will return to Kentucky for his sophomore season. Marcus Lee intends to transfer.
The Big 12/SEC Challenge will again feature Kansas and Kentucky, this time at Rupp Arena. That's not the only exciting matchup in next season's midseason conference showdown.