Johnson-Danner, who had six 3-pointers, scored 17 of his points in the first half when TSU (5-13, 4-1 SWAC) raced to a 50-20 halftime lead. Texas Southern shot 59 percent and had 20 field goals -- one more than Grambling State would finish the game with. Sturdivant had 10 points before the break.
Aaron Clyburn added 12 points for Texas Southern while Ray Penn had 10 points and 14 assists and Omar Strong also scored 10 points.
TSU shot 54 percent for the game and Grambling shot 39 percent.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.