New Jersey finished 2-for-3 on the power play. Minnesota was 1-for-6.
"I just think it's our skill, our mindset, our way of winning pucks back, creating space for each other and getting the second opportunity," Bratt said when asked about the power play. "We're getting a good first one and then as soon as the puck is loose, we're four or five guys on the puck right away to try to win it back."
Haula scored 44 seconds later with a slap shot from the top of the left circle to give New Jersey a 3-2 lead.
The Devils then denied the Wild on consecutive power plays midway through the second, when Chris Tierney was called for hooking at 10:04 followed by a too many men penalty at 12:32. Vanecek made nine of his 16 saves in the second during the back-to-back penalties.
"It's tough for me, it was tough for them, but they never quit," Vanecek said. "That's always huge, and blocking the shots for me. I was really happy for them."
Shortly after killing the second penalty, Bratt scored a power-play goal from the left circle off a passing sequence with Hughes and Timo Meier to push it to 4-2 at 16:39.
"I'm resting well when I think about the power play, but I'm still not resting well with some of the plays away from the puck that we've been giving up," Ruff said.
Jake Middleton pulled the Wild to within 4-3 on a shot from the slot at 15:17 of the third period.
NOTES: New Jersey played without captain Nico Hischier (upper body). ... The Devils are 14-for-33 on the power play this season. Their 14 power-play goals are the most in the NHL, and they are also the first team since the Buffalo Sabres in 2019 to score at least 14 power-play goals in the month of October.