Panarin scored a power-play goal at 3:19 of the second period to tie it 2-2. Chris Kreider's 10th power-play goal of the season gave New York a 3-2 lead at 4:59 of the third period.
The Rangers were 2-for-2 on the power play to improve to 7-for-19 (36.8 percent) in the seven-game winning streak. They were 4-for-4 on the penalty kill and are 19-for-19 in the past six games, and 21-for-22 (95.5 percent) during the winning streak.
"We're not going to score [on the power play] every game, but at least give our team the momentum, and when we score it's huge for us," Zibanejad said. "All five guys out there, even the second unit, can make plays. We have to take advantage of the ice that's available and the plays that are there. I think we're doing a good job of that now."
Kevin Rooney extended the lead to 4-2 at 12:10. Panarin scored an empty-net goal at 16:50 to make it 5-2, and Barclay Goodrow scored at 18:41 for the 6-2 final.
"The way we were going, we just didn't have that extra jam to have a pushback," King said. "An empty-netter and they score another one, that's how it happens. But we'll just regroup, recharge the batteries and we'll take our show on the road now."