David Villa, playing his second match after a three-game absence with a quadriceps injury, had a goal and an assist for New York City (5-0-2).
Ring made it 2-2 in the 73rd minute. Villa, at the top-left corner of the box, drew three defenders and dropped it back to Ring, who ripped a right-footer off the crossbar from well outside the area.
Greg Garza tapped in, from point-blank range, the rebound of a shot by Miguel Almiron to give Atlanta (4-2-0) a 1-0 lead in the 29th minute.
Chris McCann answered in the 56th minute, heading home a cross from Almiron. Parkhurst’s long header off a clearance by Villa led Almiron down the left side and, from the goal line, he lofted it to McCann at the top of the 6-yard box for the finish.
SPORTING KANSAS CITY 2, SOUNDERS 2, TIE
Will Bruin scored Seattle’s first goal of the season, making it 1-1 in the third minute of first-half stoppage time. Christian Roldan gave the Sounders (0-3-1) a 2-1 lead in the 73rd with a low one-timer from the top of the box off a feed from Bruin.