"We lost a lot of confidence the last couple of games, but that was a huge game for us and obviously a huge win," Demitra said.
"I think both teams wanted to turn the ship around," Backstrom said. "I think this is the last chance to turn the ship around if you want to be in the run for a playoff spot. I think it was a great hockey game, and we're real happy to get the two points."
Bouchard put the Wild ahead 1-0 on a flukey power-play goal at 3:46 of the second. His pass from the left wing boards was redirected into the net by Lightning defenseman Paul Ranger.
Demitra made it 2-0 when he was left alone in the low right circle at 4:56.
Mike Smith, who made his Lightning debut after being obtained from Dallas on Tuesday, stopped Marian Gaborik on a short-handed breakaway moments after Minnesota took its two-goal lead. He also kept Gaborik from scoring later in the period on another breakaway attempt.
"Probably one of the harder games I've ever played mentally," said Smith, who made 24 saves. "Everything that has gone on the last couple days. Fighting the nerves a little bit. For the most part, it felt pretty good. Disappointed in the outcome."
Ouellet pulled the Lightning within 2-1 during a power play with 7:38 left in the second. Backstrom made an in-close save on Andre Roy to preserve the one-goal advantage four minutes later.
"I'm really happy with his performance tonight because he made great saves, especially all the power plays they had," Wild coach Jacques Lemaire said. "They had great scoring chances. He was on the top of his game."
The Lightning went 1-for-7 with the man advantage. Minnesota converted both of its power-play opportunities.
Rolston extended the Minnesota lead to 3-1 with a rebound power-play goal at 1:53 of the third. Kurtis Foster's shot missed the net, but hit the end boards and bounced back in front of the net.
Halpern, also acquired in Tuesday's trade with the Stars, cut the Lightning's deficit to 3-2 with 10:44 left in the third.
Tampa Bay coach John Tortorella was pleased with the play of the newcomers -- but not so much with the holdovers.
"I have no problems with the guys that were traded for," Tortorella said. "How many breakaways did our top two defensemen give up?"
After that, Tortorella ended a brief postgame news conference.
- The scoring change on the Wild's first goal wasn't announced to the media until an hour after the game's conclusion.
- Lightning D Filip Kuba didn't play due to a right knee injury. He is day-to-day.
- Wild RW Mark Parrish missed his second straight game due to the flu.
- Tampa Bay recalled D Alexandre Picard from Norfolk (AHL).