Jack Hughes scored, and Vitek Vanecek made 22 saves for the Devils (21-7-2), who extended their longest slide of the season (0-3-1).
"We came out great," New Jersey coach Lindy Ruff said. "Skated well in the first period, got a lot of pucks going to the net and had some good opportunities. We got in a little bit of penalty-killing trouble, which I think took some momentum out for a little bit. But I thought our penalty-killers did a great job, and after that, I thought we stepped on the gas again."
Konecny made it 2-1 at 11:46 of the third period on a breakaway, shooting past Vanecek's blocker from the right hash marks after Cates broke up a cross-ice pass by Damon Severson in the Devils' offensive zone.
"That's a play, it's just not even in our playbook," Ruff said of Severson's attempted pass. "We talked this morning about getting pucks to the net. … They didn't have a chance in the period. I had just gone down the bench and talked about creating chances that are there, that we don't play high risk. You get in a game like this and you might have to hang around for overtime. But to make that play and trap the people, totally unacceptable."