BOSTON -- The Boston Celtics relied on their veterans to help them win the matchup of the NBA's two hottest teams.

Paul Pierce had 27 points, 14 rebounds and 14 assists, and the Celtics extended their winning streak to seven games with a 118-114 triple-overtime victory over the Denver Nuggets on Sunday.

Boston's win also ended Denver's winning streak at nine games.

Pierce made a tying 3-pointer in the second overtime to make it 107-107 and extend the game.

"I mean that's what great players do. I would love to tell you I had something to do with it," Celtics coach Doc Rivers said. "I was sitting just like the fans saying, 'Please, Lord, Paul make a shot.' "

Kevin Garnett had 20 points and grabbed 18 rebounds while Jason Terry scored a season-high 26 points off the bench.

"It seems like Garnett has a huge heart and wanted to win the game, and he made some big-time shots," Nuggets coach George Karl said. "His range has improved and it's about time he get that respect."

Pierce, Garnett and Terry are the only active Celtics with championship rings since point guard Rajon Rondo's season-ending knee injury. The Celtics remain unbeaten in Rondo's absence.

Terry hit a 3-pointer with 1:33 remaining in the third overtime to put the Celtics ahead 116-113.

Danilo Gallinari, who finished with 18 points and 10 rebounds, hit a free throw, but Denver would not get any closer.

"Hard to believe these guys don't have an All-Star," Garnett said. "That baffles me ... Gallinari, (Ty) Lawson ... they have deserving guys."