Konecny gave the Flyers a 2-1 lead with a short-handed goal at 7:22 of the third period. Jack Eichel left a drop pass for no one at the top of the zone, creating a breakaway opportunity for Konecny, who beat Adin Hill blocker side.
Samuel Ersson made 24 saves for the Flyers (23-17-8), who were 0-5-1 during the skid and had allowed at least five goals in each of their previous five games.
Tomas Hertl scored, and Mark Stone had an assist to extend his point streak to 12 games for the Golden Knights (24-12-12), who had their seven-game winning streak and eight-game point streak end. Hill made 15 saves.
Konecny gave the Flyers a 1-0 lead at 3:46 of the first period. Hertl tried to leave the puck for Kaedan Korczak at the blue line, but Konecny poked it away and skated in on a breakaway before beating Hill glove side.
Hertl tied the game 1-1 at 19:28 of the second period with a power-play goal, redirecting Eichel's centering pass through his legs from the low slot past Ersson's glove.
