The Bison (7-7), coming off an 84-80 loss to Boston College, have won five of their last six games.
The Greyhounds (4-8) have lost three in a row and six of their last seven.
Loyola led 12-2 as Bucknell missed its first five shots, but the Bison used a 14-3 run, including seven points from Boon, to pull ahead.
Bucknell, which shot 52.4 percent in the first half (11 of 21), closed the first half on a 15-2 run to lead 36-27.
The Bison extended the lead to 47-31 with 14:56 to go. Loyola's 8-0 run cut the gap to eight points, but the Greyhounds could get no closer. The Bison made 7 of 8 free throws in the final 2:37.
Shane Walker had 14 points and nine rebounds for Loyola.