NEW YORK -- Christian Dvorak scored in overtime and the Arizona Coyotes won their fourth consecutive game, 3-2 against the New York Rangers at Madison Square Garden on Tuesday.
The Coyotes (5-2-1) have points in six straight games (5-0-1) since losing their first two games of the season in regulation.
"We're playing a brand of hockey where we feel good about our game every night because we work hard and try to do the right things," defenseman Alex Goligoski said. "It's working out. Really, we have everybody going. I can't think of one guy who doesn't have his game going."
[WATCH: All Coyotes vs. Rangers highlights]
Dvorak scored the winner with 3:56 remaining in overtime with a shot from the left circle into the top right corner. It came 25 seconds after the Coyotes made a line change with possession, preventing the Rangers from getting fresh players on the ice.
The Rangers never gained possession in overtime.
"We knew they were tired, and I kept just roaming around the zone there looking for a hole and I was able to find it," Dvorak said. "He left the glove side open. I went for it."
Goligoski had a goal and an assist, and Lawson Crouse scored. Darcy Kuemper made 17 saves. He has allowed two goals or fewer in 13 straight starts since March 23.
Video: ARI@NYR: Goligoski rips home PPG off the pipe
The Rangers (2-4-1) have lost five in a row since winning their first two games of the season.
Alexandar Georgiev made 32 saves and Tony DeAngelo scored two goals. Kaapo Kakko had his first NHL assist and power-play point on DeAngelo's second goal.
"You can talk all you want about systems and structure, but if you're not skating, if you're not moving your feet and playing with an urgency and playing with a pace you can't play this game and be successful," Rangers coach David Quinn said. "You just can't do it. This game is simple but it's hard. We're just not doing the basics of what you're going to need to do to have success right now consistently. Sometimes we do it. More often we don't right now. You can feel it, we're in a little bit of a rut and we've got to skate and hit our way out of it."
Crouse gave the Coyotes a 1-0 lead when he scored on a double rebound at 13:06 of the first period. Georgiev stopped Christian Fischer's initial shot from the slot, but the rebound popped back out and the Rangers didn't have Crouse covered.
Video: ARI@NYR: Crouse beats Georgiev from the doorstep
The Coyotes outshot New York 21-4 in the first period. The Rangers have been outshot 95-62 and outscored 9-5 in the first period this season. They also have 12 minor penalties in the first period, including two against Arizona.
"If you're not able to get out of your zone in the first five or 10 seconds you're going to spend a while in your own zone," Rangers forward Chris Kreider said. "I think it just comes down to giving each other more information and I think that comes with experience, chemistry and time. But we've got to start doing it."
DeAngelo responded with the first of his two goals at 5:04 of the second to tie it at 1-1. He scored on a rebound of Brendan Lemieux's shot off a 2-on-1 rush with Pavel Buchnevich.
Video: ARI@NYR: DeAngelo taps in Strome's feed for PPG
Goligoski gave Arizona a 2-1 lead at 13:46 with a far-side shot from the right point for a power-play goal, the seventh by the Coyotes in their past four games.
New York answered with its own power-play goal with two minutes remaining in the second period to make it 2-2. DeAngelo got inside position in the slot on Carl Soderberg and redirected Ryan Strome's pass from the corner past Kuemper's left skate.
"We kept with it there and we found a way to win," Dvorak said. "We like the way we're playing right now. We're a confident bunch."
Video: EA Sports Overtime Winner: Eichel, Dvorak strike
They said it
"Maturity means handling prosperity and handling the lulls. Yeah, we won four games in a row, everybody is feeling good, but can we handle the success of it? That's a key thing. Things are going good, but it can turn. Yeah, you can enjoy the moment, don't get me wrong, but you have to be able to handle prosperity." -- Arizona coach Rick Tocchet
"We were better in the second period and better in the third, but certainly nowhere near where we're going to need to be if we're going to have a season. It's not going to happen overnight. I hope it does. But you've just got to dig your way out of it." -- Rangers coach David Quinn
Need to know
Fischer's assist on Crouse's goal was his first point of the season. He had a game-high seven shots on goal. … Arizona is 7-for-18 on the power play in its past four games. … The Rangers have allowed a power-play goal in five straight games, going 15-for-21 on the penalty kill.
Coyotes: At the New York Islanders on Thursday (Nassau Coliseum; 7 p.m. ET; MSG+, FS-A, FS-A Plus, NHL.TV)
Rangers: Host the Buffalo Sabres on Thursday (7 p.m. ET; ESPN+, MSG, MSG-B, NHL.TV)
Video: Coyotes down Rangers in OT for fourth straight win