Dallas, which improved its points streak to six straight games, scored three goals in 6:17 to tie the game 3-3 in the third and force overtime. Brenden Morrow, Mike Ribeiro, and Philippe Boucher scored for Dallas in regulation. Mike Smith stopped 31 shots.
Kris Draper had a goal and an assist for Detroit, Todd Bertuzzi got his first goal as a member of the Red Wings, and Kirk Maltby also scored. Dominik Hasek made 21 saves.
Morrow put Dallas on the board with 8:59 left in the third period with a power-play goal, beating Hasek with a backhand shot from the slot.
Ribeiro got his 17th goal when he put in a rebound with 3:29 left in regulation, and Boucher tied it with 2:42 left on a one-timer from the right circle for his 19th goal.
Bertuzzi opened the scoring 7:04 in when his attempted pass went in off the shaft of Zubov's stick.
Maltby made it 2-0 1:08 into the second period when his shot from deep along the right boards beat Smith, who was screened.
Draper scored on a breakaway with the teams playing 4-on-4 with 5:28 left in the second period.
Detroit defenceman Niklas Kronwall injured his hip 24 seconds into the game on a check by Dallas defenceman Joel Lundqvist, and didn't return.
Kronwall was hit from the side and into the end boards by Lundqvist as he stopped behind the Detroit net and tried to retrieve the puck. Kronwall, who has already had a broken leg and major knee surgery in his three-season NHL career, was taken to Detroit Medical Center for further tests.
Notes: Detroit D Brett Lebda missed his third game with a concussion. ... D Stephane Robidas (concussion), D Darryl Sydor (hand), and Eric Lindros (groin) all missed the game for Dallas. ... The Red Wings scored more than two goals in a game for the first time since March 14, a span of six games.