The league announced the honor Monday night before Game 4 of the Western Conference finals between Colorado and Edmonton.
Connor tied for the second-fewest number of minor penalties during the regular season. He was penalized just twice in over 1,700 minutes of ice time that included regular short-handed shifts and matchups against top offensive opponents.
It's his first time winning the Lady Byng. Last year's winner, Carolina defenseman Jaccob Slavin, was second in voting by the Professional Hockey Writer Association. Minnesota captain Jared Spurgeon was third.
Connor is the fourth player in Jets history to win an NHL individual award. Previous winners were Connor Hellebuyck (Vezina Trophy in 2019-20), Ilya Kovalchuk ("Rocket" Richard Trophy in 2003-04) and Dany Heatley (Calder Memorial Trophy in 2001-02).
Information from The Associated Press was used in this report.