The Rangers trailed for 18 seconds in the first period before scoring four straight times and holding on for a 5-3 victory Friday night that ended the best-of-seven series in five games.
New Jersey's John Madden was awarded a penalty shot with 7:08 left in the third period after Dan Girardi dragged him down with a sweeping dive with his stick. Madden couldn't net the tying goal when his backhander at the right post was stopped by Henrik Lundqvist's pads.
Brandon Dubinsky sealed New York's second straight 5-3 win with an empty-net goal with 59.1 seconds left.
Never had a team won three road games against New Jersey in a playoff series, but the Rangers did it in the first season at the Devils' new arena, Prudential Center, affectionately known as "The Rock."
New York took the first two on the road before splitting two at Madison Square Garden.
The Rangers beat New Jersey seven of eight times in the regular season, with the only loss coming on the final day when the Devils secured home-ice advantage in the first-round matchup.
It was anything but.
After Brian Gionta gave the Devils a 1-0 lead 4:40 in, Michal Rozsival answered at 4:58. Jaromir Jagr and former New Jersey star Scott Gomez scored to make it 3-1 for New York, outshot 9-7 in the first period that was played largely in the Rangers zone.
Chris Drury pushed the lead to 4-1 early in the second, but a freak goal from the neutral zone by Devils defenseman Bryce Salvador and Patrik Elias' 5-on-3 tally cut the deficit to one before the middle period expired.
The Devils outshot the Rangers 11-3 in the third and pressed heavily throughout, but couldn't beat Lundqvist again.
When this one was over, Rangers agitator Sean Avery and Devils goalie Martin Brodeur had one more confrontation, this time in the handshake line. Avery, who crashed into Brodeur several times in the series and tried to distract him by waving his stick in the goalie's face in Game 3, was the only player Brodeur didn't extend his hand to.
"I shook everybody's hand but one," Brodeur said.
Avery said he was fully prepared to reach out to Brodeur, but didn't get the chance.
"Everyone talks about how much class I don't have, well it's the end of the series and men go to war against each other," Avery said. "I guess he forgot to shake my hand. I don't know if anyone saw that. Of course I was going to shake his hand."
Only once in the tight regular season did the Rangers score more than four goals against Brodeur, but they did it in back-to-back wins in this series to finish off the Devils. The home team won just one of the five games, New York's 5-3 victory on Wednesday that gave the Rangers a commanding 3-1 series edge.