Johnson made an up-and-under layup to give Akron a 68-67 lead with 2:06 left. After a Buffalo free throw, Johnson was left open in the paint and made an easy basket for a 70-68 lead.
Noah Robotham hit two free throws for a three-point lead, then Conner missed a 3 and Robotham sealed it at the line.
Jackson had 16 points and seven assists for Akron (12-2).
Conner led Buffalo (7-7) with 16 points.
Buffalo had a 26-22 lead before Jackson and Reggie McAdams combined to score Akron's final 13 points of the first half to tie it at 35.