Kyle Connor had two assists for the Jets, who won their second straight game against Ottawa.
Winnipeg put the game out of reach in the second period, scoring three times.
Adam Lowry and Blake Wheeler also scored for the Jets, who moved to 3-1 on the season.
Connor Hellebuyck made 28 saves for Winnipeg.
Chris Tierney scored the lone goal for the Senators late in the third period.
Matt Murray took the loss for Ottawa, turning aside 25 shots.
Nikolaj Ehlers opened the scoring 11:50 into the first period when he took a feed from Andrew Copp just inside the blue line before moving into the high slot and beating Senators goaltender Matt Murray with a low wrister.
The goal was his second of the sesason.
Mark Scheifele scored 4:22 into the second, moving in from behind the net before Kyle Connor hit him with a pass at the side of the goal which he tipped past Murray to give Winnipeg a two-goal cushion.
The goal was his second of the season.
Adam Lowry made it 3-0 at the 7:05 mark, banging in a rebound off a Trevor Lewis partial breakaway when Lewis put the puck off of the goalpost.
Jets captain Blake Wheeler rounded out the Jets scoring at 13:55, who finished off a three-way passing play by beating Murray with a backhand deke to make it 4-0 Jets.
Chris Tierney scored Ottawa's lone goal of the night at 17:03 of the third period.
SHOTS-WINNIPEG 29 OTTAWA 29
NOTES-The Jets and Senators meet again on Saturday evening in Winnipeg.
Jets winger Patrik Laine missed his third straight game with an upper body injury. He's listed as day-to-day.
Defenceman Ville Heinola made his season debut for the Jets, replacing D Sami Niku.