Martin St. Louis scored in the sixth round of the shootout, and the Tampa Bay Lightning beat the Red Wings 2-1 on Thursday night.
Detroit has lost its last 11 shootouts, including all six this season.
"It's one of those things," Detroit goalie Jonas Gustavsson said. "It's going to turn around, and then maybe we're going to win five or 10 in a row in the shootout. That's just how it goes. We've got to find a way to do it."
St. Louis netted the lone shootout goal when he beat Gustavsson to the stick side. Detroit failed this time against Ben Bishop.
"We've got to find a way to score a goal for our goalie," Red Wings coach Mike Babcock said. "Our goalie can't shut them all out. Guys that have scored fairly easily before, their attempts look like they're tight, too.
"We've got to change that, too."
Nikita Kucherov scored for the Lightning in regulation. Kyle Quincey had the Red Wings' only goal of the night.
"We're finding a way, and you need to do that," Tampa Bay coach Jon Cooper said.
Detroit is just 1-9, including nine straight defeats, this season in games decided in overtime or a shootout. The Red Wings were coming off a 3-2 shootout loss Tuesday at Florida.
Quincey put the Red Wings up 1-0 with his first goal in 51 games, a rebound backhander from along the goal line just past the post at 15:04 of the first. The defenseman also snapped a 16-game point drought.
Kucherov tied it when he beat Gustavsson from the high slot with 43.7 seconds remaining in the second.
Gustavsson made a first-period save on Valtteri Filppula's in-close backhander.
St. Louis sent a shot wide of the net during a short-handed breakaway early in the second. Bishop stopped a shot by Daniel Alfredsson on a 2-on-1 later in the period.
An up-tempo third period featured nice saves by both goalies. Bishop made 28 saves in regulation. Gustavsson stopped 26 shots.
"Both goalies are as big as a house," Babcock said. "There's no room, and both played really well."
Bishop improved to 16-5-2.
"Bish is the backbone of our success," St. Louis said. "Whenever you beat Detroit, it's a big one."
Both teams had key players sidelined by injuries.
Red Wings goalie Jimmy Howard hurt a knee in practice on Wednesday and is scheduled to be evaluated Friday in Detroit. Forward Henrik Zetterberg, on the long-term injured list because of a back injury, is eligible to return Dec. 28 against Florida.
The Lightning were without star center Steven Stamkos, who hopes to return in February from a broken right leg. Defenseman Victor Hedman will be out at least another week due to a lower-body injury.
NOTES: Detroit senior vice president Jimmy Devellano and Chicago senior adviser Scotty Bowman, who won three championships as coach of the Red Wings, were at the game. The two Hockey Hall of Fame members have a combined 20 Stanley Cup rings. ... Tampa Bay RW Richard Panik served the first game of a two-game suspension for a hit Tuesday on Washington D Karl Alzner.