No record exists of the mid-air flight between Brad Pitt and his son Maddox

Brad Pitt, Angelina Jolie, and their son Maddox Jolie-Pitt. Photo / Getty Images

Air Traffic Control have no record of a mid-air fight breaking out between Brad Pitt and his son Maddox on board their private jet on September 14.

The 52-year-old actor was accused of child abuse - allegations of which he's now been cleared after the Los Angeles County Department Of Children And Family Service received insufficient evidence - after a member of the cabin crew reported him for allegedly lunging and striking the 15 year old while under the influence of alcohol.

But, according to records obtained by RadarOnline.com, the Minneapolis Air Route Traffic Control Centre only documented the family had experienced a turbulent flight.

However, staff had claimed at the time that the Allied star had locked horns with Maddox after he tried to verbally defend his mother Angelina Jolie, who adopted him in 2002, during an argument as the family flew home to Los Angeles from Paris.

Brad Pitt and actress Angelina Jolie. Photo / AP

And the on-board crew weren't the only ones to file a report as airport workers also claimed they could hear the father-and-son in a heated exchange before they took off.

However, law enforcement officers spent weeks gathering evidence from the plane and carrying out extensive interviews with Maddox, Angelina and Brad, but decided to close the case last week as they didn't think the actor was guilty of the crime.

It was initially thought the incident between Brad and Maddox contributed to Angelina's decision to file for divorce two days later following two years of marriage.

The 41-year-old actress asked for sole physical custody of their kids Maddox, Pax, 12, Zahara, 11, Shiloh, 10, and eight-year-old twins Knox and Vivienne in her filing.

However, Brad is determined to get joint custody and it seems, at present, the Californian courts are in his favour, especially now that he's cleared of child abuse.

But, until they reach an agreement, the children will remain in Angelina's care and Brad will have "therapeutic visits."

A statement said recently: "The six children will stay in their mother's custody, and the children will continue therapeutic visits with their father. This has been determined by childcare professionals to be in the children's best interest."