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.
The old saying in hockey is 'weather the storm.' I put the notion in their heads that we don't want to weather the storm, we want to push just as hard and matched their work ethic. I thought our guys exceeded that in the first period.
— Edmonton Oilers coach Dallas Eakins after their loss to the Nashville Predators on Thursday