Boston (12-2) was playing without Kyrie Irving after he took an inadvertent elbow to the face from teammate Aron Baynes on Friday night against Charlotte. Irving has a minor facial fracture but has not been diagnosed with a concussion as initially feared.
Jaylen Brown added 18 points, and Terry Rozier helped fill in for Irving with 16 points off the bench. Boston shot just 40.2 percent from the field.
Jayson Tatum's acrobatic layup with 1:26 remaining in the fourth quarter put the Celtics up 95-90.
DeRozan missed a potential go-ahead stepback jumper with 19 seconds remaining. Tatum got the rebound, but elbowed Fred VanVleet in the face for an offensive foul that was confirmed by video review.
DeRozan had another look to give Toronto the win, but missed a turnaround jumper with 2 seconds left. Serge Ibaka scooped up the rebound, but lost the ball as time expired.
Without Anthony, the Thunder's other two superstars carried the offensive load, fueling a 26-10 run in the third quarter that broke open what had been a tight game. Oklahoma City improved to 6-7, missing its second straight after four consecutive losses.
Clint Capela contributed 20 points and 17 rebounds for Houston, which overwhelmed the Pacers from the start, jumping out to a 13-2 lead. Houston continued to pile it on early and often, outscoring the Pacers 24-9 during the first 6 minutes. Victor Oladipo had 28 points for Indiana.