Daniel Carcillo and Benoit Pouliot scored second-period goals, and the Rangers advanced to the second round with a 2-1 victory in Game 7 over the Flyers.
The Rangers shook off a 5-2 thrashing in Philadelphia on Tuesday and knocked out the Flyers about 24 hours later, improving to 6-0 in Game 7s at Madison Square Garden. New York will face another Metropolitan Division rival, the Pittsburgh Penguins, in the next round starting on Friday.
Henrik Lundqvist made 26 saves, allowing only a third-period goal to Jason Akeson 4 minutes 32 seconds into the final frame. He protected the one-goal lead at 7:25 when he made an awkward save against Flyers captain Claude Giroux.