Doughty left within the first few minutes of the game after taking a hit from Philadelphia's Zac Rinaldo.
Rinaldo leveled Doughty with a shoulder-to-chest hit. Kings forward Dustin Penner came to the aid of his teammate and started a fast fight with Rinaldo. It came only 24 seconds into the game.
Doughty returned for a shift but was not on the bench in the second period. The Kings beat the Flyers 3-2 in overtime.
"It was a clean hit. That's hockey," Rinaldo said. "I don't mind fighting after a nice hit like that. It's fun."
The Kings defenseman, who has one assist and an average of 27:34 in ice time in the team's first three games, missed most of training camp before agreeing to a new eight-year, $56 million deal with Los Angeles.
Information from The Associated Press was used in this report.