The Fighting Irish broke things open with a 10-point run over a 3-minute span midway through the first half and wound up advancing their record to 11-1.
Notre Dame has won nine straight since suffering its lone setback, a 79-70 loss to St. Joseph's on Nov. 16.
Cooley missed just one shot, hitting 5-of-6 from the field and all four of his attempts from the foul line.
Jerian Grant also scored 14 points off the bench for the Fighting Irish. Notre Dame shot 61 percent from the field and outrebounded Kennesaw State 32-15.
The Owls, who have won only once in 10 tries this season, were led by Aaron Anderson with 16 points.