Raymond Felton added 16 points for the Knicks, who used a 27-4 run spanning halftime to blow it open and move halfway to their first series victory since the 2000 Eastern Conference semifinals. This is their first 2-0 lead since sweeping Toronto in the first round that year.
Paul Pierce scored 18 points for the Celtics, who will host Game 3 on Friday in their first home game since the Boston Marathon bombings.
Kevin Garnett had 12 points and 11 rebounds, but battled foul trouble for Boston.
Anthony followed his 36-point opener by making 8 of 13 shots in the second half to finish 11 of 24 for the game.
HEAT 98, BUCKS 86
MIAMI (AP) — Dwyane Wade scored 21 points and LeBron James finished with 19 as Miami took off in the fourth quarter to take a 2-0 lead in the first-round series.
Chris Bosh, Shane Battier and Chris Andersen all scored 10 points for the Heat.
Game 3 is Thursday in Milwaukee.
The Heat scored the first 12 points of the fourth quarter, needing just over 2 minutes to blow open what had been a three-point game.
Ersan Ilyasova scored 21 points for Milwaukee, which got 16 from Mike Dunleavy and 14 from Larry Sanders. The Bucks' starting guards, Brandon Jennings and Monta Ellis, combined for only 15 points after scoring 48 in Game 1.
WARRIORS 131, NUGGETS 117
DENVER (AP) — Stephen Curry had 30 points and 13 assists and Golden State handed Denver its first loss at home in more than three months, a stunner that evened their playoff series at a game each.
Jarrett Jack added 26 points, Harrison Barnes 24 and Klay Thompson 21 as the sixth-seeded Warriors wrested homecourt advantage from the NBA's best home team as the series shifts to Oakland for Game 3 Friday night.
The third-seeded Nuggets were an NBA-best 38-3 at home during the regular season and extended their franchise-best winning streak to 24 games with the Game 1 win.
The Warriors became the second road team to win the post-season following Chicago's win at Brooklyn on Monday.
Even without injured All-Star forward David Lee, the Warriors outrebounded the Nuggets 36-26 and shot 64.6 per cent.
Ty Lawson and Corey Brewer both scored 19 points for Denver.