The former couple share six children together.
The judge warned Jolie directly, "If the minor children remain closed down to their father and depending on the circumstances surrounding this condition, it may result in a reduction of the time they spend with [Jolie] and may result in the Court ordering primary physical custody to [Pitt]".
Jolie's attorney claimed on Tuesday her estranged movie star husband has not paid "any meaningful child support" since their dramatic split in September 2016.
What's more, those close to Pitt believe that Jolie only filed the new papers as a warning shot after he told her that he wanted to restart the formal divorce process.
"Respondent has a statutory duty to pay child support".
In the court documents obtained by Access on Monday, Angelina requested a case management conference to address the lack of child support paid by Pitt.
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Additionally, the documents state that Jolie must provide Pitt with personal cell phone numbers for each child and allow him to text them whenever he wants. He was also accused and then acquitted of child abuse - the initial cause of their separation back in 2016.
Under California law, providing for the children is the responsibility of each parent based upon the agreement they reach.
Brad and Angelina announced their split in September 2016 and while their separation initially seemed amicable, the divorce battle has been dragging on for almost two years.
In June, however, the court ordered Jolie to help fix Pitt's relationships with his children, as "not having a relationship with their father is harmful to them".
Pitt's spokesperson has yet to respond to the allegations, which emerge days after Jolie's representative, Mindy Nyby, denied reports suggesting the actress' main attorney, Laura Wasser, had quit over "internal conflicts" regarding the case.
The "Moneyball" actor said in an interview past year that he had quit drinking, was undergoing therapy and that he and Jolie had chose to abandon "vitriolic hatred" and work together to sort out their issues.