Boston's Jared Sullinger was tossed with 8:43 left in the third quarter after he picked up two flagrant fouls within 23 seconds of each other.
Nuggets coach Brian Shaw drew two technicals in succession and was ejected with 2:43 left in the third quarter by referee Rodney Mott for arguing with him over a call during a timeout.
Faried, Wilson Chandler and Timofey Mozgov all had dunks off alley-oop passes in the third quarter, and Faried converted a three-point play with 4:21 left in the period to put the Nuggets up by 32 points, their biggest lead of the night. Boston never led at any point in the game.
"We didn't get back on defense. We gave up a lot of dunks and uncontested layups. We're not playing hard enough," Boston's Jordan Crawford said.
The Nuggets built a 68-45 lead in the first half, closing the second quarter with a 10-run that included a 3-pointer by Foye and back-to-back dunks off the fastbreak by Faried and J.J. Hickson. Denver made 10 of its 3-pointers in registering a season-high in first-half scoring, including four by Foye.
NOTES: The Nuggets said Chandler would undergo a precautionary MRI scan Wednesday because the groin strain occurred on the same side as a previous hip surgery. ... Andre Miller remains on personal leave from the Nuggets and the team has given no indication on when or if he'll rejoin the club. Miller has been away from the team since a verbal clash with coach Brian Shaw during a New Year's Day loss to Philadelphia over his lack of playing time. ... Foye has scored in double figures in each of his last six games. ... Boston gave up season highs in points to an opponent in consecutive games. The previous high came two days ago when Oklahoma City scored 119. ... The Celtics have lost nine of their last 10 games against the Nuggets at the Pepsi Center.