Adam Henrique poked a loose puck past Henryk Lundqvist less than two minutes into overtime to secure a 3-2 New Jersey win.
The Rangers, who finished the regular season atop the Eastern Conference, had rallied from a 2-0 deficit to send the game into OT.
On Wednesday night at the Prudential Centre, the great Martin Brodeur will make the 200th start of his playoff career.
Brodeur has not played in the Cup finals in nine years.
Ilya Kovalchuk scored and assisted on the winner to raise his playoff total to 18 … finally overtaking Claude Giroux for the lead.