General manager Dean Lombardi told the team's official website that playoff hero Martinez had surgery Friday.
Martinez was hurt blocking a shot midway through a 2-0 loss to Dallas. He left Staples Center wearing a wrap on his left hand.
Martinez won his second Stanley Cup title by scoring two series-winning overtime goals last summer. He won Game 7 of the Western Conference finals against Chicago. He did it again in the Stanley Cup finals against the New York Rangers, beating Henrik Lundqvist in Game 5.
The Kings hope Robyn Regehr will return from injury Saturday against Anaheim.