Russell Westbrook, who sat out Sunday's 23-point loss to the Mavericks, netted 17 points and was one rebound and one assist away from a triple-double, while Serge Ibaka checked in with 15 points for the victors.
The Bulls, wearing green jerseys in honor of St. Patrick's Day, entered the fourth quarter in a 74-67 hole but scored eight straight points following two Reggie Jackson free throws to pull within 76-75.
Unfortunately for the Bulls, their luck stopped there.
They had two chances to take the lead, but Derek Fisher blocked Gibson under the basket and Jimmy Butler was off the mark on a 3-point try -- the first and second of 11 consecutive misses by Chicago.
Oklahoma City's subsequent 16-1 run, capped by Ibaka's dagger corner 3-pointer with just over three minutes to play, gave the Thunder a healthy 16-point cushion they did not relinquish.
Durant scored 10 points in the first quarter, including a step-back jumper just before the buzzer to break a 21-21 tie.
A back-and-forth second ended with the Thunder still holding a two-point lead, 47-45, and Durant keyed an 8-0 run midway through the third that stretched Oklahoma City's lead to 69-58.