It was Vokoun's 19th shutout of his career.
Dan Hamhuis, Jason Arnott and Steve Sullivan scored to help the Predators end a two-game losing streak.
Hamhuis scored at 4:52 of the first period. He fired a slap shot from the left point that bounced off of Anaheim's Teemu Selanne and over goalie Jean-Sebastien Giguere's shoulder.
Arnott scored on a power play 56 seconds into the second period. Kimmo Timonen, skating high in the slot, hit Arnott with a pass and he hammered a one-timer past Giguere from the left faceoff circle.
With 12 seconds left in the game, Sullivan struck on a 5-on-3 power play. Sullivan shoved the puck past Giguere in heavy traffic in front of the net.
Notes: The game was the Predators' first at home since the all-star break. ... Arnott, who became the first Predators player to reach 20 goals this season, has a goal in each of his last four games and is on a seven-game points streak (four goals, five assists). ... Giguere had given up only two goals in his previous two games since the all-star break.