Bucknell never trailed after halftime and led by as many as nine points, but had trouble pulling away from Holy Cross in the second half. The Crusaders cut the deficit to four points when Phil Beans made a jumper with 2:29 left to play.
However, Holy Cross (10-10, 2-3) was unable to pull closer. The Bison responded with five straight points to give themselves enough cushion to hold on to the victory.
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.