Chris Horton and Ed Dyson added 13 points apiece, with Horton grabbing 14 rebounds. Khalil Davis had 12 points and 9 rebounds for the Governors (4-7).
The Mighty Oaks (7-2), a Division II school from Indiana, had four players in double figures, led by Jonathan Sulak's 12. Oakland City shot 37.8 percent and had 18 turnovers to finish 43 points below its average (95.9).
Austin Peay led 35-16 at halftime but Oakland City was within 50-43 on a Matt Lucas layup with 9:03 left before the Governors went on a 16-4 run to regain control.
Davis went 8 of 11 from the foul line where the Governors were 16 of 22 and they had a 46-23 rebounding advantage, including 22 on the offensive end.