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 think everyone left it out there. Every game this season, regular season and playoffs, we played as hard as we could. We're not out of the playoffs right now because of lack of effort, and that's all that we can ask of each other.
— Predators defenseman Seth Jones after Nashville was eliminated by Chicago in Game 6 on Saturday