Frustrated through 60 minutes by Dallas goalie Antti Niemi, the New Jersey Devils needed just 44 seconds of overtime to get their fifth straight win.
The Stars controlled the puck off the faceoff in the extra period, but turned it over, and the Devils' Adam Henrique then beat Niemi to give New Jersey a 2-1 victory.
"You play 60 minutes, good game, and we've got to be happy having a 1-1 tie," Niemi said. "It just gives it all away."
Henrique and Kyle Palmieri skated in on Niemi on a 2-on-1. Palmieri sent a pass from the right side to Henrique at the edge of the left faceoff circle, and Henrique put the puck into the lower left portion of the net.
"To create a turnover, you got to be patient in overtime sometimes, and you just capitalize on that," Henrique said. "Just try to get to the net on the 2-on-1. (Palmieri) made a great play, patient around their D-man. Just bury it once I had the chance."
Dallas coach Lindy Ruff saw his team fall to 0-5 in overtime this season, and 0-9 going back to last season.
"We just made another ill-advised decision to put a puck in the middle. We had good possession. We should have been changing by that time, and the result was we made a bad pass, and we followed a bad pass and let guys get by us."
Niemi made 31 saves, including all 16 New Jersey shots on goal in the scoreless second period.
The Devils are 4-3 in overtime this season.
The game had been tied since Patrick Eaves' goal for Dallas at 10:33 of the first period.
Damon Severson scored at 7:40 of the first for New Jersey, and Cory Schneider stopped 23 shots.
Devils coach John Hynes was pleased to see Henrique and Palmieri come up with the game winner.
"I thought that they were big factors in the game tonight," Hynes said. "It's good to see them get rewarded for some of the hard work they've put in and haven't got rewarded for. But I thought collectively, as a team tonight, we didn't have any passengers tonight. You look throughout the lineup, everyone competed."
Severson scored on a 4-on-2 break after Dallas' John Klingberg lost the puck at New Jersey's blue line. PA Parenteau passed from the left side to Severson in the slot, and he put a wrist shot into the upper part of the net.
Eaves tied it on a 2-on-1 break as Antoine Roussel passed from the left faceoff circle to Eaves on the right and Eaves beat Schneider with a wrist shot.
Dallas had a good scoring chance midway through the third period but Lauri Korpikoski's shot from the top of the left circle went off Schneider's left foot, between his legs and just wide of the left goalpost.
Two minutes later, New Jersey's Nick Lappin sent an in-close backhand wide right.
NOTES: Devils LW Taylor Hall, their scoring leader through 14 games, did not play because of a lower-body injury. ... Severson's goal put him in a tie with Hall for the team lead with 12 points. ... Roussel's first-period assist extended his scoring streak to seven games (three goals, six assists), but his three-game goal-scoring streak ended. ... Jason Spezza (lower-body injury) returned, bringing with him 34 points (eight goals, 26 assists) in 34 games against New Jersey. ... Dallas showed a video tribute to Devils LW Vernon Fiddler, who played the last five seasons for the Stars. ... New Jersey was 0 for 20 on the power play in the previous five games. ... Eaves tied Tyler Seguin for the Stars' team lead with his seventh goal. Eaves' career high is 20 goals in his rookie season, 2005-06.
Devils: At Anaheim on Thursday night in the second game of a four-game trip.
Stars: Host Colorado in the second of a four-game homestand.