Hughes slipped the puck five-hole on a breakaway to cut it to 2-1 at 1:05 of the second period.
"The first period was really tough, they scored two goals," Vanecek said. "We came back in the second period. I knew it was going to be hard, back to back, we fly two hours. I knew I had to step it up one period, and it was the second one, and I did. I'm so happy for it."
Miles Wood tied it 2-2 at 3:55 on a shot from the high slot, his first goal since Dec. 13 (20 games).
"We created enough chances to win that game 4-2," Stars coach Peter DeBoer said. "You've got to give their goalie credit, he got them to overtime. Then, that reared its head again. We'll take the break and I'll go sit in a dark corner somewhere in Florida at the All-Star Game and try to figure out this overtime thing and come back and make sure in the second half we're better in that area."
NOTES:With his 10th game-winning goal, Hughes tied John MacLean for the most by a player in Devils/Colorado Rockies/Kansas City Scouts history age 21 or younger. Hughes has 33 goals in 49 games, the most in franchise history before their 50th game (Claude Lemieux, 31, 1991-92). He also extended his point streak to eight games (seven goals, eight assists). … Vanecek's winning streak ties Martin Brodeur for the longest in franchise history. Brodeur won nine or more games in a row six times, the last Nov. 17-Dec. 7, 2007. … Benn had an assist and a game-high seven shots in his 999th NHL game.