Gabriel Vilardi scored twice and added an assist and Mark Scheifele scored once and added two assists and Kyle Connor scored and added a pair of assists.
Vladislav Namestnikov also scored for the Jets, who won their second game in a row.
Dylan DeMelo had a pair of assists.
Connor Hellebuyck made 21 saves for Winnipeg, who moved to 8-3-0.
Teuvo Teravainen, Alex Vlasic and Andre Burakovsky scored for the Blackhawks who kicked off a five-game road trip with a loss.
Spencer Knight turned aside 27 shots for Chicago, who dropped to 5-4-2.
Winnipeg had a pair of goals in both the first and second periods.
The Jets struck early with a power play marker 1:42 into the contest.
With Colton Dach off for hooking Vladislav Namestnikov converted a Gustav Nyquist feed from behind the goal line as he cut for the net to make it 1-0 Jets.
The goal was his 5th of the season.
Teuvo Teravainen evened the contest just under the nine minute mark when he found himself alone in front of the net after the puck took a fortunate bounce off the end boards with Hellebuyck behind the Winnipeg net.
Gabriel Vilardi gave the Jets the lead at 16:56 as he finished off a 2-on-1 on a Mark Scheifele feed into a wide open net to make it 2-1.
The goal was his 3rd of the season.
Mark Scheifele scored 1:54 into the second when he took a Kyle Connor feed and ripped a wrister from the right face off dot, beating Knight just under his glove to make it 3-1 Jets.
The goal was his 9th of the season.
Vilardi notched his second goal of the night at 11:19 when Dylan DeMelo found him waiting at the hash mark of the right face off circle, the Jet winger went low, blocker side to score his 4th of the season.
Josh Morrissey made it 5-1 just over halfway through the third when he converted a Dylan DeMelo feed past Knight from the left point.
The goal was his 1st of the season.
"Yeah, I think it was our best 60-minute effort. I mean, you know, there's always things to clean up and but there's a lot to build on. There's been a lot of talk about our second periods and how we did a better job in that frame. So, yeah, it's a good win, and have to keep building," said Morrissey.
Alex Vlasic scored at 13:02 to pull Chicago to within three.
Andre Burakovsky scored a highlight reel goal just over two minutes later when he pulled the puck in between his legs and scored while reaching behind himself to make it 5-3.
"It's just instinct, I was just trying to get a shot off somehow and that's what came out, that's what happened. It's just instinct," he said of his tally.
"It was a good goal but at the end of the day we didn't win the game and that's what's most important obviously. It would have been better if we won."
Kyle Connor made it 6-3 at 17:19 after he cruised around the Chicago net before shelving a backhand to score his 6th goal of the season.
Jets Head Coach Scott Arniel said he was pleased with his team's effort on the night.
“Yeah, that was a real good game. I thought that, there's little things that happen over the course of a game, I don't know if there ever is a perfect 60, but that was one of our best of the year. I liked a lot of what we did, whether that was our coverage, whether than was our breakouts. I thought we were really good on our breakouts. They're a quick, young team and I thought we did a good job, for the most part, trying to stay over top of them and slow them down and, obviously, we capitalized on all our chances," he said.
Blackhawks Head Coach Jeff Blashill was looking for answers from his club heading into the third period.
"One of the things I would say is we haven't been down three kind of going into the third, well we haven't at all year and I thought our guys came out and fought hard. That was one of the things I was interested to see in terms of the character of our group. Were we going to lay down? Are we going to come out and play? I thought we did a good job of that," he said.
Chicago visits Edmonton and Winnipeg hosts Pittsburgh on Saturday.
SHOTS-CHIACGO 24 WINNIPEG 33
ATTENDANCE-13,862
