Ryan Reaves and Brandon Duhaime also scored, and Marc-Andre Fleury made 33 saves to win his seventh straight start for the Wild (40-22-8).
Minnesota is two points ahead of the Colorado Avalanche, who have two games in hand, for the second in the Central Division and one point behind the Dallas Stars.
"The team has stepped up, right? Not just a few guys. Everybody," Wild coach Dean Evason said. "Everybody has. I don't think they sat in there and said, 'Guys we have to score now.' They've always tried to score, but with (forward Kirill Kaprizov) absence, they all know that there's a little extra push that's needed to be had because literally he's playing half the game, so there's opportunities for people and people have been able to step up."
Alex Ovechkin had two goals and an assist, Dylan Strome had a goal and an assist, and Charlie Lindgren made 35 saves for the Capitals (33-31-7), who have lost three of four.
Washington remained five points back of the Pittsburgh Penguins, who have two games in hand, for the second wild card into the Stanley Cup Playoffs from the Eastern Conference.
"It's frustrating we just haven't started good," Strome said. "I think like our last 40 minutes of the last five or six games have been pretty good. We've been hanging in there with everyone we played against.
"Obviously, our starts aren't good. I'm not sure of the exact reason. We got to have a better start next game. Time's quickly running out. You take away the first five minutes of the last five games, I feel like we've got more goals than the other team. Keeping it 0-0 to the first TV timeout is maybe what we have to do. Easier said than done. We just have to keep working hard and find a way to get out the first period tied or better."
Boldy scored on a rebound 50 seconds into the game to give the Wild a 1-0 lead. He then extended it to 2-0 at 4:36 with a one-timer off a pass from Marcus Johansson.