The Rangers would extend their lead to two when Jimmy Vesey put home a rebound off a shot from Pavel Buchnevich with 2:26 left in the second. Buchnevich fired a slap shot from the boards that Dubnyk stopped, but Vesey drove to the net and found the loose puck to put the Rangers up 3-1.
Matt Dumba scored a power play goal 4:51 into the third to get the Wild within a goal, but Antti Raanta shut the door the rest of the way.
Raanta finished with 25 saves, including 14 over the final two periods for his 15th win of the year.
Vigneault praised his fourth line of Lindberg between Vesey and Buchenvich. In fact, they played so well Vigneault gave it a name.
"I thought our kid line was real good," Vigneault said. "They got us that big goal in the second period."
The Rangers are now 10-3 in the second game of a back-to-back this season. Vigneault said the win was the result of a strong efforts from throughout the lineup.
"To come in, this team, you just look at their lineup and to get two points, you need a solid effort from your whole group," Vigneault said. "We got that tonight."