The Braves play in NCAA Division I Football Championship Subdivision as a member of the Southwestern Athletic Conference (SWAC).
Alcorn State has won five Black college football national championships.
Alcorn joined the Southwestern Athletic Conference SWAC in 1962.
Since then, the Braves have won thirteen conference championships, nine outright and four shared.
The Braves appeared in the Division II playoffs one time, with an overall record of 0–1.