Kevin Martin scored 20 points and Serge Ibaka chipped in 15 points and 12 rebounds for Oklahoma City before fouling out in overtime. Hasheem Thabeet also matched his career high with 10 points off the bench.
The Clippers won three out of four against Oklahoma City in a sometimes testy series last season that included Griffin's memorable throwdown over Perkins in a Clippers win and Perkins' retaliation with a hard foul to Griffin's face as Oklahoma City won the rematch.
Barnes had a couple scuffles with Ibaka and Perkins but nothing quite as noteworthy.
The Clippers ended up with a 54-38 edge scoring in the paint and a 28-10 advantage in second-chance points. Oklahoma City made up for it by making 34 of 39 free throws, while L.A. was 24 for 33.
Durant was 19 for 21 at the line, with coach Vinny Del Negro telling official Kevin Fehr after one call: "He doesn't need any help scoring."
"Those guys are physical and (I was) just trying to fight through it. Just trying to get there, man," Durant said. "I think early on, me driving and me getting into the paint, I was a little hesitant in the second half because I was turning the ball over.
"But I just tried to keep going. My teammates told me to just keep being aggressive, and that's what I tried to do."
The Thunder pushed ahead with a string of eight straight made baskets in the first quarter, and the lead stretched to 26-16 after Westbrook's extra effort turned a potential turnover into a three-point play for Thabeet.
The Clippers finally got back within striking distance early in the fourth, with Thunder coach Scott Brooks yelling to Durant to get off the bench with Los Angeles back within 78-75.
With Durant back in, Oklahoma City responded with the next six points to stabilize momentarily before the Clippers' final charge.
Notes: Los Angeles has held eight straight opponents below 46 percent shooting. The Thunder were just shy at 45.6 percent. ... Crawford made all four of his free throws, stretching his streak of consecutive makes to 29. He made 37 in a row in April. ... Jordan, one of the NBA's worst foul shooters at 42 percent, got Oklahoma City to stop hacking him intentionally in the fourth quarter by making three of four.