The documents went on to claim the 41-year-old actress, who filed for divorce from Brad in September after he allegedly had a row with Maddox on a private jet, "exposed the children by making public the names of their therapists and other mental health professionals".
He added the Maleficent star has "no self-regulating mechanism" to prevent sensitive information from being released to the public, citing the re-release and filing of documents that contain private information as evidence.
His filing noted: "Although she had already made them public, she did it again."
Lawyers acting for the Tree of Life star have drafted a proposed order they want the judge to approve, but Angelina's team first have the opportunity to respond to the request.
The filing comes a few weeks after Pitt, who only has supervised visits to the children, had a request for an emergency hearing to have all documents sealed turned down.
Laura Wasser, the lawyer acting for Jolie, previously said her famous client isn't against sealing the documents, but they had opposed the hearing because Pitt's team hadn't consulted with them before making their request.
-Bang! Showbiz