Corey Perry had the puck on his stick with a nearly open net early in overtime, but Martinez managed to block the shot by the Ducks' best goal-scorer.
Several minutes later, Marian Gaborik's game-winner put the Kings up 1-0 in the series heading to Game 2 on Monday night in Anaheim.
The Southern California rivals' first playoff meeting was every bit as entertaining as expected. The Ducks were pleased by their performance despite the loss, while the Kings' defensive depth became even shallower in victory.
I downplayed the first one because I thought it's just a hockey game. We just want to win the game; it's against our rival and we want the two points. I downplayed it, but now having gone through the first one I look back and say, 'Geez, that was really cool.' I think as I've grown a bit older I've got a lot more appreciation for what we're allowed to do every day.
— Capitals forward Brooks Laich on the 2015 NHL Bridgestone Winter Classic, the second one of his career after 2011 in Pittsburgh