Bowling Green is off to a 3-0 start for the first time since opening the 1999-2000 season with three straight wins.
Richaun Holmes led Bowling Green with 14 points, Parker had 10 and Denny added nine.
Bowling Green made 23 of 57 attempts (40.4%) from the floor but only hit 2 of 13 from beyond the arc. The Redhawks were 19 of 46 overall.
Jarekious Bradley, who nailed 4 of 8 from long range, had 18 points and 10 rebounds for the Redhawks (2-3).