Keith Hornsby added 12 points to help UNC Asheville (11-10, 5-2) win its third straight game.
Trailing 28-26 at halftime, UNC Asheville took the lead 38-36 on Atkinson's layup with 16:03 remaining. The Bulldogs then used an 18-10 run to push the lead to 56-46 with 8:18 left to play.
High Point (9-10, 4-3) would get within five points, 59-54 on Corey Law's dunk with 3:45 to go, but UNC Asheville closed out the game on a 10-4 run. The Panthers went scoreless in the final 2:17.
After shooting just 33.3 percent (10 of 30) in the first half, UNC Asheville improved to 61.9 percent (13 or 21) in the second.
Law led the Panthers with 13 points and seven rebounds.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.