De'Vion Harmon added 15 points and Jacob Young had 14 for the Ducks, who led by as many as 23 points in the second half.
John Walker III led the Tigers with 19 points and PJ Henry had 10.
"We started jelling together in the second half," Young said. "We started moving it faster and started hitting shots and that just carried on and then we just kept going in the second half. We pushed the big lead out and we just started getting comfortable from there."
Both teams played in the NCAA Tournament last season. Oregon went 21–7 overall and reached the Sweet 16 for the fifth time under coach Dana Altman.
Texas Southern went 17-9 and won the Southwestern Athletic Conference tournament. The Tigers defeated Mount St. Mary's in the First Four and then lost to Michigan.
Texas Southern returned four starters from last season's team. Michael Weathers, the team's top scorer, transferred to Southern Methodist for his final year of eligibility.
A newcomer for Texas Southern is freshman Shaqir O'Neal, the youngest son of Shaquille O'Neal, but he did not play on Tuesday.
The Tigers stayed close in the in the opening half, but Oregon began to pull away in the final five minutes.
Oregon pushed the lead to 34-22 with just over a minute remaining in the half on Richardson's 3-pointer. The Ducks led 36-26 at the break.