The banged-up Bruins were without their best offensive player, Marc Savard, who might miss the rest of the season after sustaining a concussion Sunday against Pittsburgh.
With Savard out, Bergeron is filling as the team's No. 1 center, and has five points in four games. He added two assists.
Blake Wheeler scored the game's first goal, when he took a center ice pass from Krejci, and flipped a backhand shot over Michael Leighton's right shoulder.
Flyers center Jeff Carter tied it at few seconds into a second-period power play. He deposited a faceoff behind the net, then intercepted Mark Stuart's clearing pass and sent a slap shot past Rask.
Boston retook the lead less than 4 minutes later on Recchi's wrist shot from just inside the faceoff circle.
Bergeron recovered a rebound off a shot by Matt Hunwick and scored from inside the blue line. Forty-six seconds later, Krejci took a backhanded feed from Michael Ryder and beat Leighton with a wrist shot, chasing the goalie from the game. He entered the game with a 15-3-2 with a 2.28 goals-against average for the Flyers.
Marco Sturm scored Boston's fifth goal, beating Brian Boucher in the third period.
NOTES: Carter has nine points in his past eight games. ... Philadelphia's Danny Briere played in his 650th NHL game. ... The Bruins are one of two NHL franchises with a winning record against the Flyers, at the 81-61-21-6. Montreal is the other.
