The Wild lead the series 2-1. Game 4 is here Sunday.
Marcus Foligno and Ryan Hartman each had two assists, and Marc-Andre Fleury made 29 saves for the Wild, the No. 2 seed in the Central Division.
"I just thought we simplified it," Minnesota coach Dean Evason said. "We weren't trying to go east-west. We were just getting pucks into the zone and skating, and that's the game, right? And you know, everybody talks about our team being a physical team, but we can skate."
Ryan O'Reilly scored, and Ville Husso made 28 saves for the Blues, the No. 3 seed from the Central.
"We came out with great energy, feeding off the building, and I thought we did some great things well, but maybe got too excited offensively," O'Reilly said. "We've got to be responsible and then build our game from there. Obviously we were down two early, and yeah, we need to respond quicker. We just kind of got a little frustrated, and it kind of just took the wind out of our sails. It was too tough to generate anything to kind of get the momentum back. Yeah, it was just difficult."
RELATED: [Complete Wild vs. Blues series coverage]
Blues defenseman Marco Scandella returned after missing three games with a lower-body injury, but they lost defenseman Torey Krug midway through the first when he
limped to the locker room
following a neutral zone hit on Wild forward Matt Boldy at 10:57.
Jordan Greenway gave Minnesota a 1-0 lead 39 seconds into the first period, converting a one-timer off a 2-on-1 with Eriksson Ek after Ivan Barbashev's turnover in the offensive zone.
"St. Louis had good pressure to start," Fleury said. "I thought our team defended well. We stuck together, stayed in the middle and didn't give them too much."
Kaprizov made it 2-0 at 2:18 when he banked a shot off Husso's left skate from behind the net after Husso initially got a piece of Kaprizov's breakaway attempt.
"He's one of those players that finds a way to score from everywhere, and it's nothing new for us," Wild forward Mats Zuccarello said. "It's good to see. You work hard and you get the bounces, and today we got bounces."