Brad Pitt has been cleared after a probe into allegations he mistreated one of his children in a mid-air altercation, the FBI said on Tuesday.

The claims centered on an alleged incident with his 15-year-old son Maddox in September on a flight from France to Los Angeles. Pitt's wife Angelina Jolie claimed he had struck the boy.

"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," the agency said in a statement.

"No charges have been filed in this matter."

The announcement marks Pitt's second vindication over the incident, two weeks after Los Angeles social workers cleared the 52-year-old of wrongdoing following interviews with the couple, their children and witnesses.

Pitt, who won a best film Oscar for producing "12 Years a Slave" (2013), has been in contact with all six of the couple's children and is seeking joint legal and physical custody.

The reunions were supervised by a therapist as part of the couple's temporary custody agreement -- mediated by the Los Angeles County Department of Children and Family Services -- which was recently extended.

Under the agreement Jolie had physical custody of the children -- three of whom, including Maddox, are adopted -- at a rented LA house.

The A-listers -- given the celebrity moniker "Brangelina" -- wed in France in August two years ago, but had been a couple since 2004.

AFP reached out to Pitt's representative, who declined to comment.