North Carolina A&T entered the game tied for first with Bethune-Cookman, Hampton, Savannah State and Norfolk State. Bethune-Cookman and Savannah State each won its finale and Hampton knocked Norfolk State out of the mix, 74-71, leaving a three-way tie for the conference title.
NCCU also secured the No. 6 seed in the MEAC Tournament.
The Eagles (15-15, 9-7) trailed by a point at the half, 27-26 and the Aggies pushed that lead to five to start the second half, but John Guerra hit a 3 and Davis had back-to-back dunks to spark an 18-2 run to go up by 11, 44-33 with 12:39 remaining.
The Aggies (18-13, 11-5) got within six points, 62-56 on Denzel Keyes 3 with 1:14 left, but NC Central answered with five-straight free throws, and after Kwei Lartey turned a three-point play with :20 left to make it 67-59, Davis dunked and Larry McKnight hit the first of two free throws to push the lead back to 11 points.
C.J. Wiggins and Guerra each added 10 points for NC Central and Pablo Rivas pulled down a dozen rebounds to go with nine points.
Femi Olujobi scored 15 points and grabbed 11 rebounds to lead NC A&T and Davaris McGowens added 14 points.
The Associated Press contributed to this report.