Crawford, who had 29 points and 17 rebounds against Mississippi Valley State, finished with 26 points and 16 rebounds. Jamel Waters tallied 10 for Alabama State (8-17, 6-6), which posted back-to-back wins for just the second time this season.
Alabama State held an early 13-9 lead before Crawford hit back-to-back jumpers to spark an 8-4 run for the Hornets. Crawford capped the run with a jumper.
Alabama A&M (8-15, 4-8) cut the deficit to 28-22 on Jeremy Crutcher's 3-pointer, but the Hornets closed the half on a 5-0 run and took a 33-22 lead into the break. The Bulldogs got within four, 66-62, with 1:38 left to play but missed their last three shots, all 3-pointers.
Brandon Ellis had 15 for Alabama A&M.