Jacob Markstrom made 23 saves for the Canucks (11-13-3), who ended an eight-game losing streak in Los Angeles on Saturday but are 1-7-2 in their past 10.
"We've got to keep the regulation losses to a minimum. One point is important," Markstrom said. "In the third, we responded. We came out strong and kept grinding the whole third, and we got rewarded."
Jonathan Quick, who missed 13 games because of a knee injury that required surgery, dressed for the first time since Oct. 28, but the Kings' No. 1 goalie backed up Petersen, a rookie who made his seventh straight start.
Petersen made his best saves in the first period, sliding across to deny Antoine Roussel on a backdoor chance at 5:07 and sprawling to make the save on an open-net chance by Loui Eriksson after a cross-ice pass at 11:21.
"He made a couple saves that first period that were outstanding, and you know that could change how the game went," Kings coach Willie Desjardins said. "And he's pretty calm. For a young guy to come in and do that is pretty impressive."