On the play, Steven Beitashour lofted a chip into the area in front of the net and Wondolowski got a head on it, directing the ball into the bottom right corner for his eighth goal of the year.
The Earthquakes (9-10-6) kept their Western Conference playoff hopes alive with a victory following a 2-0 loss at Vancouver last week.
Kansas City (11-8-6), meanwhile, remained in a tie for New York for the top spot in the East.
Pistorius testifies he didn't consciously pull trigger when he shot girlfriend
'Happy' fan videos make Pharrell cry [VIDEO]