Korpisalo was acquired in a trade with the Columbus Blue Jackets for goalie Jonathan Quick on Wednesday.
"I thought he looked really confident," Kings coach Todd McLellan said. "Not easy to play with a new team, not understanding the calls or touches or what may or may not happen. Part of goaltending is predictability, and you're coming into a situation where you don't really know the team at all. He made some really good saves."
Gabriel Vilardi scored a power-play goal late in the third period for the Kings (36-20-8), who have won three straight and are 8-2-1 since the All-Star break.
"Guys played really well and helped me a lot today, especially in the end," Korpisalo said. "After they scored their second goal, I don't think I had any shots after, so it was a great job."
Los Angeles is tied with the Vegas Golden Knights, who have two games in hand, for first in the Pacific Division.
"We know we need to win," Kings defenseman Matt Roy said. "It's a tight race out in the West for us, and we understand we need to bring it every night and need to find a way to win games."