The victory avenged a 22-point loss at Gardner-Webb two weeks ago and gave the Highlanders (12-9, 5-4 Big South) their fifth straight conference home victory.
The Runnin' Bulldogs (10-11, 5-4) have dropped three straight.
Gardner-Webb's Tyrell Nelson posted his Big South-leading ninth double-double with 17 points and 13 rebounds. Laquincy Rideau added 13 points. Harold McBride, who had 24 points in the win over Radford, scored five.
Jones' 3-pointer with 5:42 left put Radford up 61-55. Four free throws by Taj Owens and Anderson in the final minute sealed the win.
A 3-pointer by Davis gave Radford a 36-31 halftime lead.