Freshman Jordan Woodard led the Sooners (9-1) with 24 points, while his older brother James led the Golden Hurricane (3-7) with 19.
After James Woodard, Shaquille Harrison and Pat Swilling Jr. each posted 17 and De’Andre Wright carded 10 points for TU.
Other Sooners who finished in double figures were Buddy Hield with 23, Cameron Clarke and Isaiah Cousins each with 15 and Tyler Neal with 12.
Tulsa stayed close within OU most of the game.
A 3-point dish by Swilling with 11 seconds left in the first half drew the Golden Hurricane to within 40-38 before the break.
"In the first half, I thought good things. It was a close ballgame at halftime," Tulsa coach Danny Manning said. "(Oklahoma) came out in the second half and made some shots, got some rebounds and kind of created some distance in between us, and we couldn't close the gap. Hats off to them. They went out and they made the plays they needed to make to win the game."
Brandon Swannegan made a layup inside the paint to bring Tulsa to within 51-47 with 15:50 left in the game.
The Sooners would take off from there.
The Golden Hurricane shot 48 percent (30-of-63) from the field, 44 percent (12-of-27) from 3-point range and 63 percent (19-of-30) from the foul line.
Oklahoma also shot 48 percent (29-of-60) from the field, hit 47 percent (9-of-19) from 3-point range and 71 percent (34-of-48) from the foul line.
The Sooners had a 43-32 rebounding edge against TU.
Next for Tulsa is Grand Canyon, who comes to the Reynolds Center on Wednesday. That game tips off at 7:05 p.m.