Earlier, Skrudland was penalized for knocking over the Buffalo goalie when they met in the corner in a chase for a loose puck at 12:25.
Gustafsson scored the game-winner with 2:22 remaining when he shot a backhander that deflected off the Buffalo goalie, Jacques Cloutier, high in the air.
Lauer waited and then beat Daren Puppa, the Buffalo goalie, with a high wrist shot on the glove side.
A 30-foot wrist shot by Devils defenseman Brian Rafalski got through a pack of players in front of Hasek and went past the Buffalo goalie.
The Bruins had 38 shots on the Buffalo goalie, Darren Puppa.
Dominik Hasek, the Buffalo goalie known as the Dominator, wears an old-fashioned mask often called a "bird cage."
The Buffalo goalie, Daren Puppa, who replaced Clint Malarchuk after one period with Buffalo trailing by 3-1, got a piece of the shot but not enough.
They put heavy pressure on Hasek, often sending four players deep but came up empty as the Buffalo goalie, who finished with 31 saves to Hextall's 19, sparkled.
Anton steered the pass past the Buffalo goalie, Tom Barrasso.
Gustafsson scored the game-winner with 2:22 remaining when his backhand shot deflected off Jacques Cloutier, the Buffalo goalie.