Olson also set up his teammates with seven assists for Denver (13-8, 9-2 Western Athletic).
Royce O’Neale scored 14 points for Denver. Jalen Love and Chris Udofia each scored 12 points. Udofia also had four blocked shots and three steals.
The score was tied twice in the contest, but Texas State (7-16, 3-8) never led.
Texas State wasted a strong all-around effort from Joel Wright. He scored 33 points, including 14 of 18 from the free-throw line, and pulled down 12 rebounds.
Denver had a 36-30 scoring advantage in the paint and a 22-14 scoring edge in turnovers.