Marner gave the Maple Leafs a 2-1 lead at 18:07 on a shot from the bottom of the left face-off circle.
Bertuzzi extended it to 3-1 at 5:08 in the third period when he deflected a point shot past Wedgewood on the power play.
“I just thought we spent a lot of time on their half of the ice, and we didn’t have to get a whole lot from our defense in the first period,” Toronto coach Sheldon Keefe said. “Then, as it turned out, we needed our [defensemen] too much in the second and third period. I just thought we had enough gas in the tank because of the way we played in the first. Those guys grinded.
“You knew here in this building that their team was going to push, and they did, and obviously we didn’t break.”
Dallas had gone 17-for-17 on the penalty kill to start the season and was the last team in the NHL to allow a power-play goal.
“Just keep moving forward. We’ll stick together. We’re a good team in here,” Stars forward Craig Smith said. “We can generate chances. You see the zone time at times and puck possession and just being hungry on the puck, we’re creating a lot of good chances.”
John Tavares scored into the empty net at 19:49 for the 4-1 final.
“That’s a really good team over there, and they haven’t lost in regulation yet, so I think that was a big win for us,” Woll said. “Playing a Stanley Cup contender like that, I thought we came out in the first and played really hard, and then shut it down in the third.”
NOTES: Toronto defenseman Jake McCabe played 10 seconds in the game before exiting due to a lower-body injury. Keefe said it’s likely McCabe will be unavailable against the Nashville Predators on Saturday. ... Nylander and Tavares each extended his season-opening point streak to seven games, the seventh and eighth players in franchise history to reach that mark... Dallas forward Ty Dellandrea left the game with 4:24 remaining in the third after taking a puck to the side of the face. DeBoer said he believed Dellandrea will be fine but did not have an update from the medical staff.