The actor had been accused of mistreating Maddox on board a private flight from France to LA.
Brad Pitt’s wife, Angelina Jolie, filed for divorce soon afterwards and is seeking sole custody of their six children.
Social workers investigating the same claim cleared Brad Pitt two weeks ago.
The FBI said: “In response to allegations made following a flight… carrying Mr. Brad Pitt and his children, the FBI has conducted a review of the circumstances and will not pursue further investigation.
“No charges have been filed in this matter.”
Brad Pitt, 52, is seeking joint legal and physical custody of the couple’s six children, three of whom were adopted by Angelina Jolie before the couple began dating in 2004.
Angelina Jolie and Brad Pitt married just two years ago, in a private ceremony at their estate in Provence.
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