New York nearly had a two-goal lead again, but Carl Hagelin's drive that beat Rask was wiped off because Mike Rupp had been called for roughing before the shot.
"They had a couple of good chances in the last two minutes (of regulation)," said Rask, who made 29 saves. "Looking at it that way, the point is good."
In the first period, New York appeared to be in total control. It took until their third game for the Rangers to post their best period and grab their first lead.
Gaborik nearly scored his first less than 5 minutes into the game when he jabbed at a loose puck after Rask let it go free. Rask fell onto his back, with his arms outstretched inside the net like a snow angel, and the whistle blew. A video replay ensued, but the puck never crossed the goal line.
Just 26 seconds later, Gaborik finished off a brilliant end-to-end passing play for his 325th NHL goal.
Defenseman Michael Del Zotto started the play with a pass from behind his net out to center ice, where Richards deftly tipped it forward to Nash in the Bruins zone. Nash sent a crisp cross-ice pass to Gaborik, who patiently carried the puck down to the goal line and skillfully flicked a parallel shot under the crossbar behind Rask, popping the water bottle out of its holder on top of the net at 4:36.
Gaborik struck again moments later.
"He opens up a lot of space," said Nash, who has one point in his first three Rangers games. "He's one of the best scorers in the league, and people better beware when he's out there."
Rask had allowed a total of two goals in two games over 125 minutes of action this season before New York's big first period. The Bruins were being outshot 8-2 at the time, prompting Boston coach Claude Julien to use his lone timeout.
The Bruins doubled their shot total from four to eight in the final 2:31 of the period, despite being short-handed for two minutes after Adam McQuaid earned an extra roughing penalty when he dropped the gloves to fight New York's Brian Boyle.
"We redeemed ourselves pretty well. It could have been worse," Julien said. "The first 10 minutes is what obviously cost us the game. What I liked about our team is their resiliency to get back and start playing like the way we should have."
NOTES: RW Arron Asham, who made his Rangers debut Sunday vs. Pittsburgh, sat out because of a groin injury. ... Lundqvist made his 26th straight start against the Bruins, dating to Jan. 13, 2007. ... Boston has lost 10 of 14 to the Rangers and six of eight.