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.
For six months, it's a really good accomplishment. But as soon as April [11, the end of the regular season] comes around, no one thinks about the regular season anymore. For six months, it's a real battle to get into the playoffs in the NHL these days. There are a lot of good teams, and it takes consistency over a long time.
— Ducks coach Bruce Boudreau on clinching a playoff berth after a win against the Islanders on Saturday