Kimbrel began the inning by striking out Greg Dobbs. He had Donovan Solano struck out, but catcher Brian McCann wasn't able to block a wild pitch for strike three. Unfazed, Kimbrel struck out John Buck and Gil Velazquez to end the game.
Kimbrel is the third player to strike out four batters in one inning in the last week. Yankees right-hander Phil Hughes did so last Thursday and Angels right-hander Zack Greinke on Tuesday.
Marlins manager Ozzie Guillen praised Kimbrel after the game.
"He's amazing," Guillen said. "He's having a great year for them and he didn't do anything different today."
Kimbrel has 111 strikeouts in 60 1/3 innings this season. With 40 saves, Kimbrel is tied with Cardinals closer Jason Motte for the National League lead.