Donald Qualls led Grambling State (6-14, 4-8) with 20 points. Rupert Rose finished with 13.
A dunk by Jones with 14:49 to play capped a 10-2 run for Texas Southern and extended its lead to 56-30. Grambling State, which never led, didn't get closer than 16 the rest of the way.
Hall scored 26 of his points in the first half as Texas Southern built a 41-26 advantage.