Ball State (5-2) started quick and led 14-5 after a Calhoun 3. Later, House hit back-to-back jumpers to make it 27-15 with 4:53 before the half.
Trailing 29-23 at the break, Valparaiso went on a 12-6 run capped by Vashil Fernandez's layup to tie the score at 35. But Valparaiso (6-2) could never take the lead and the Cardinals shot 8 for 10 from the free-throw line in the last five minutes to hold off the Crusaders.
House had eight rebounds and Ball State enjoyed a slight edge on the boards 37-32. Trey Moses had three of Ball State's seven blocked shots.