Nikita Kucherov scored twice, and Ondrej Palat had three assists for the Lightning (29-15-4), who are 12-2-0 in their past 14 games.
"Anytime you go on a run as we've got on here the last few weeks, you're going to need everybody pulling in the same direction," Tampa Bay coach Jon Cooper said. "But in the end you need your goalie to bail you out when it's needed. Tonight I know we had a three-goal lead after one (period), but you knew a proud team over there was going to push at home. They got 18 shots in the second period] and [Vasilevskiy] stood tall the whole time. … He's been a big part of the run we're on."
***[WATCH: [All Lightning vs. Jets highlights]*
Connor Hellebuyck allowed five goals on 12 shots for the Jets (25-19-4), and Laurent Brossoit made 12 saves in relief.
"It could be just losing sight of some of those little details, but I feel like the mindset's right," Winnipeg captain Blake Wheeler said. "It feels like the effort's there, it feels like the mentality's there, it feels like we're connected on the ice. But with all that being said, at the end of the day, 7-1 at home, that's not going to get the job done. There's definitely some things to figure out."
Cirelli scored twice in the first period, making it 1-0 at 9:27 and 3-0 at 19:07. His third goal came at 7:48 of the third period for a 6-1 lead. He has 12 goals this season.
"Obviously pretty special," said Cirelli, who played his 147th NHL game. "It was my first one and something I'll remember for the rest of my life. … They don't come around a lot in this league and it's super hard. So I will take anything that I can get. [The third goal] was a lucky bounce to hit [Dmitri Kulikov's] stick and go in."