The Cardinals were already ahead 4-0 when they turned the game into a rout with the sixth-inning outburst.
St. Louis starter Lance Lynn recorded 10 strikeouts and allowed only one hit in four innings.
Freddy Garcia threw the first four innings for Atlanta and gave up four runs -- three earned -- on six hits and a walk.
The Braves had only three hits and committed three errors.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys