Sam Montembeault made 25 saves for the Canadiens (5-10-2), who have lost seven of eight.
“I felt we were very patient and there was not much room for either team,” Montreal coach Martin St. Louis said. “It wasn't an offensive, it wasn't a track meet. Both teams were playing tight defensively and, to me, it's a really good sign of where we're heading with our club.”
Boldy gave the Wild a 1-0 lead at 12:43 of the second period with his 10th goal of the season. Kaprizov found Marcus Johansson in the low slot, and he redirected the puck to Boldy for a one-timer off the crossbar and in.
“I didn't do much there,” Boldy said. “So, it was pretty good just to catch it and shoot it in the net.”
Canadiens defenseman Jayden Struble was assessed a double minor for high-sticking on Wild defenseman Jared Spurgeon at 8:22 of the third period.
Rossi then made it 2-0 at 12:19 with three seconds left on the power play, scoring with a wrist shot through traffic after faking a shot and moving inside.
“The special teams were huge,” Rossi said. “The PK was really strong today (3-for-3), and (on) the power play we had a good strong goal.”