Then midway through overtime, Kennedy collected the puck in the left circle and unleashed a wrist shot that beat the Flyers' goalie high to the short side for the game-winner.
The result avoided a repeat of last season for the Penguins, when Philadelphia downed them in March 2012 to break an 11-game winning streak.
Marc-Andre Fleury earned the with win 27 saves.
Claude Giroux scored and Bryzgalov ended with 33 saves for the Flyers, who fell for the third time in four games.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys