Egekeze and Bradshaw each grabbed eight rebounds and Bradshaw added five assists. Austin Luke had nine assists for Belmont (4-2).
Bradshaw hit back-to-back 3s to cap a 14-4 run to put Belmont up 36-27 with 4:24 left in the first half and the Bruins led 41-29 at the break.
Bradshaw scored seven during a 14-2 run in the second half to extend Belmont's lead to 20 with 15:54 to play. Kennesaw State (1-5) trailed by at least 15 the rest of the way.
Yonel Brown led Kennesaw State with nine points. The Owls made 11 of 37 (29.7 percent) field goals, including 1 of 8 from 3-point range, in the second half.