Kimbrel, with his 16th save of the season (in 18 tries), has 155 for his career, one more than John Smoltz. His 155 saves have come in 172 opportunities.
Jason Hayward drove in three runs, two with a home run, and Andrelton Simmons doubled in a run for the Braves.
Julio Teheran (6-3) gave up two runs and five hits in seven innings to win his fourth straight decision.
Didi Gregorius became the first Diamondback to hit leadoff home runs in consecutive starts. He did it Wednesday in Colorado, sat out Thursday's game, then did it again Friday.
Arizona's Brandon McCarthy (1-8) allowed three runs and nine hits in 6 1-3 innings, striking out nine and walking one.