Ward stole a pair of goals from Winnipeg's Bryan Little in the first period, beginning with a pad save during a Jets two-man advantage and then displaying his quickness with a highlight-reel stick stop.
Little was about to fire the puck into a wide-open side of the net, but Ward whipped out his stick and the puck hit the paddle.
"It was a fun save," Ward said with a chuckle after making 34 stops. "The initial shot was in a position where I knew I was going to have to kick out a bit of a rebound. Just out of pure desperation, I threw my stick out there and made a save that brings you back to the ol' street hockey days as a kid.
"But Little, I think he got even with me scoring that second goal in the third period, so it all evens out."
Jets coach Paul Maurice, who coached the Hurricanes for parts of 11 seasons, even tipped his hat to Ward.
"Cam Ward was the story of this hockey game," Maurice said. "He was the best player on the ice."
The Jets had mounted a 9-0 advantage in shots on goal on the way to a 13-6 lead at the end of a scoreless first period. Ward then got some offensive help from his teammates, as brothers Eric and Jordan Staal and Riley Nash each scored within a span of 2 minutes, 53 seconds in the second.
Defenseman Andrej Sekera had a pair of assists for the Hurricanes (31-31-9) to give him 31 on the season to go with 11 goals.
Little scored his 21st goal of the season for Winnipeg (32-31-9) 1:27 into the third period.
"We came out firing," Montoya said. "Their goaltender played well. I didn't make the saves I needed to make and at the end of the day that cost us the game."
Maurice said Montoya was wrong.
"If a guy is clearly the reason you're in the hole, I'll get him out of the net before that happens," Maurice said. "They get to this level thinking they should stop everything. He will feel that because he's got a front-row seat to the way the guy at the other end is playing, so it's magnified."
Carolina coach Kirk Muller said Ward's stellar play was inspiring for his teammates.
"The guys knew that he was giving a great effort and he was keeping us in there," Muller said. "They were like, `Hey, we've got to surround him with some better play here,' and, fortunately, we got timely goals. We played better the rest of the game and it was a nice team effort for everybody."
Ward has battled through two injuries this season and was bumped to backup for Anton Khudobin, who was in net for Carolina's 3-2 loss to Chicago Friday night.
Winnipeg, which heads out on a five-game road trip beginning Monday in Dallas, remains at 73 points. Heading into the game, the Jets were six points back of the final wild-card spot in the Western Conference. The Jets were coming off a 5-4 overtime win against Colorado on March 19. The loss to Carolina was Winnipeg's 40th one-goal game this season and the Jets are 18-13-9 in those outings.
Jordan Staal made it 2-1 when he went through Jets defenders and scored over Montoya's blocker at 10:10 of the second while Slater was in the penalty box for tripping.
Maurice said Winnipeg's first period was "about as good as we're going to play," but Staal's power-play marker hurt.
"No doubt we got tight at 2-1," he said. "You could feel it."
The Jets, who were outshot 21-8 in the second, were working without defenseman Zach Bogosian, who left in the period with an upper-body injury that Maurice said isn't too serious.
It appeared Stuart tied it six minutes after Little's goal, but the goal was waved off for goaltender interference as Jets defenseman Dustin Byfuglien fell on top of Ward in the crease and was lying on his right arm.
Jordan Staal's power-play goal was the first the Jets have allowed at home in five consecutive games. Winnipeg's penalty kill was ranked fifth-best (84.8 percent) in the NHL heading into the game. ... The game was the second of Carolina's 18 sets of back-to-back games this season. It plays two more. Only New Jersey has more back-to-back sets this season with 22. The Hurricanes so far are 9-8-1 in the first game of their sets and 5-10-3 in the second game.