The 25-year-old from Shelby Township, Michigan beat out last year's winner - Jaccob Slavin of the Carolina Hurricanes - and Minnesota Wild defenceman Jared Spurgeon for this year's award.
The trophy was presented by the wife and daughter of the late Mike Bossy, who won the Lady Byng on three occasions - 1983, 1984, and 1986.
"That was very cool," Connor said. "Obviously Mike's a very special player. Unfortunately the way he passed away this past year. To get a very special award from those two was pretty cool."
The award is presented annually "to the player adjudged to have exhibited the best type of sportsmanship and gentlemanly conduct combined with a high standard of playing ability."
The high-flying Winnipeg Jets forward was the exact definition of that all season.
His 47 goals and 93 points set new franchise records since the team relocated to Winnipeg in 2011. His 36 even-strength goals were the second most in the NHL, and he was fourth among all forwards in average ice time at 21:47.
All that time on the ice, all those points, and still only four penalty minutes.
"It's just kind of how I've always played my game, just kind of used my footspeed and my stick to check moreso than my body," said Connor. "It's being smart with your feet, being in the right positioning to be able to check with your stick. You know it's not something where I go out there looking, I just play my game. Is it hard to not take penalties? I don't think about it at all when I'm on the ice."
Throughout the season, as the goals and points kept piling up, Connor always maintained that this was the level he expected out of himself. He put the work in during the off-season and this type of season - his first 40-goal season after scoring 30-plus in three of the last four - was the reward for that.