The game was scoreless Saturday when Matt Hunwick was sent off for hooking with 18 seconds left in the first period.
Daniel Paille beat Cam Ward 32 seconds after the teams returned to the ice in the second. Blake Wheeler made it 2-0 just 49 seconds later. And then Steve Begin gave Boston a 3-0 lead another 15 seconds later.
The Bruins had only scored three short-handed goals all season before Saturday.
Only once since 1964 has an NHL team scored four short-handed goals in a game.
The Bruins will clinch a playoff berth with a win or an overtime loss.