The Lightning had a three-game winning streak snapped.
Wisniewski scored on the power play 6:36 into the second period to bring about a 1-1 tie and the contest turned into a goaltending duel between Anaheim's Jonas Hiller and Tampa Bay's Antero Niittymaki.
Both sides produced a goal during the first two rounds of the shootout, after which Hiller blocked a shot by Brandon Bochenski.
Wisniewski followed with a wrist shot that made its way through Niittymaki's pads.
Hiller made 30 saves, helping the Ducks improve to 2-3 on their season-long, six-game road trip. That journey ends Monday against Florida.
Niittymaki stopped 31 shots.