Law Johnson-Danner added 14 points and Aaron Clayborn's double-double, 13 points and 10 boards, helped Texas Southern (11-14, 10-2) outrebound Grambling 38-23.
Grambling State never led as Texas Southern won its sixth straight game.
After Will Hornsby's 3-pointer cut the deficit to 10, 50-40 for Grambling State, Strong's 3-pointer capped a 14-3 run, putting Texas Southern on top 64-43 with 7:58 remaining. Grambling trailed by double figures the rest of the way.
Texas Southern finished shooting 53.8 percent (28 of 52) while holding Grambling State to just 39.2 percent (20 of 51).
Terry Rose led winless Grambling State (0-22, 0-13) with 16 points.