Winnipeg coach Claude Noel called Pavelec the "best player on the ice" and said they might not have earned a point if it wasn't for him.
"Pavelec was unbelievable," Noel said. "Say what you want, goalies like that, you can win championships with goalies like that, with goaltending like that."
Kane had put the Jets up 4-3 during a power play at 4:57 of the third period on a long, high shot that Bryzgalov couldn't grab with his glove.
But just as the crowd started roaring at a victory, Simmonds snatched it away when he got a great feed to the front of the net from winger James van Riemsdyk, who was wheeling his way behind the net.
The Flyers outshot the Jets 6-1 in overtime, with Jagr getting the chance for the game-winner on a timely pass from Danny Briere.
As Briere was being tangled up with some Jets near the side of the net, he spotted Jagr moving to the front of the net untouched and quickly sent him the puck.
"You have to make the other team tired, you know, because every line can score ... ," Jagr said of his team.
"It doesn't matter how many they score against us because we know we can score a lot of goals."
Kane was feeling bad that Pavelec's performance didn't net more than a point.
"He's been playing like that the whole year," Kane said. "It's pretty spectacular, but I don't think we're too surprised by it.
"There's a lot of pucks that go toward the net that not a whole lot of goalies would be able to stop, but ... he's able to do that."
Flyers coach Peter Laviolette liked his team's attack.
"I'm really proud that the guys kept coming and pumping," he said. "It was one of those gutsy efforts that you look back on and (it) might have been one of our best, toughest, wins of the year. You know, we keep fighting and keep pushing to get the two points."
Jets forward Antti Miettinen played his 500th game. He was claimed off waivers by Winnipeg, his third NHL club, in December ... Jets forward Blake Wheeler assisted on Ladd's first to extend his points streak to four games (one goal, eight assists) ... Tuesday marked the third of an eight-game homestand for the Jets, who host Tampa Bay on Thursday. The Flyers travel to Edmonton on Thursday for the second of their four-game road trip.
Copyright by STATS LLC and The Associated Press
Arena: MTS Centre Location: Winnipeg, Manitoba
Referees: Brad Meier, Kelly Sutherland Linesmen: Scott Cherrey, Shane Heyer
Attendance: 15,004 (100.0% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Dustin Byfuglien (9)
(Power Play) Assists: Tim Stapleton, Bryan Little
Claude Giroux (23)
Assists: Scott Hartnell, Matt Carle
Scott Hartnell (28)
(Power Play) Assists: Wayne Simmonds, Kimmo Timonen
Andrew Ladd (18)
(Power Play) Assists: Blake Wheeler, Tim Stapleton
Andrew Ladd (19)
Assists: Bryan Little, Dustin Byfuglien
Maxime Talbot (17)
Assists: Andrej Meszaros, Nicklas Grossmann
Evander Kane (23)
(Power Play) Assist: Tim Stapleton
Wayne Simmonds (22)
Assists: James van Riemsdyk, Claude Giroux