Anaheim 5, St. Louis 4 (SO)
Francois Beauchemin had three assists for the Ducks, who blew a two-goal, third-period lead before winning in the shootout.
Anaheim scored an unusual goal in the second period when St. Louis' Dean McAmmond's pass to the point went into an empty net after sailing the length of the ice.
Kunitz, who has six goals and 11 points in 26 games, got one of his scores during a two-goal, 10-second flurry that tied a franchise record in the first period.
The Blues scored three of their goals on the power play, including scores by Doug Weight and Mike Sillinger in the third to tie it.
Kunitz, the second of three shooters in the shootout for the Mighty Ducks, beat Curtis Sanford with a backhander. Jean-Sebastien Giguere stopped McAmmond, Weight and Sillinger, who all appeared to try to beat him between the pads.
Weight had a goal and two assists for the Blues, who have lost three in a row at home and are 4-12-3 overall there.
The Ducks' third goal, McAmmond's gaffe, came after Sanford had left for the bench during a delayed hooking call on Petr Sykora at 7:27 of the second. Vitaly Vishnevski, the last Ducks' player to touch the puck, was credited with his first goal of the season, a tally that put Anaheim ahead 3-1.
McAmmond partially atoned with his 12th goal later in the period when he scored on his own rebound.
The Blues scored on the game's opening salvo, with Jamal Mayers scoring on a rebound at the 23-second mark. Anaheim took the lead with two goals in a 10-second span by Andy McDonald and Kunitz, the latter chasing goalie Jason Bacashihua.