Brassard made it 1-0 with a shot that beat Steve Mason high 1:10 into the second period. Max Talbot tied it at 13:26 with a snap shot from the left wing that got past goalie Cam Talbot's glove.
Cam Talbot made 10 saves on 12 shots in relief of starter Martin Biron, who stopped all six shots he faced.
Former Flyer Darroll Powe tipped a shot by Andrew Yogan past Mason to give New York a 2-1 lead at 19:26 of the second. However, Sean Couturier got the rebound of Jakub Voracek's shot and tied it 2-2 just 2:28 into the third.
Benoit Puliot put the Rangers ahead for good at 5:30 when he took a back-door pass from Brassard and scored past Mason, who finished with 20 saves on 23 shots.