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.
It's a date that's been circled on my calendar, so it's kind of nice to have it here and get it over with (Thursday). This is a little bit of the closing of the book on the move. That's kind of how I'm looking at it.
— Stars forward Jason Spezza on returning to Ottawa for the first time to face the Senators