Cook has asked a judge to issue a Contempt of Court order against Christie Brinkley earlier this week, over an incident involving their son Jack.
According to reports, Jack missed a school trip to Egypt, which his father planned to accompany him on in late November.
Cook claims Brinkley stalled getting their son’s passport ready, leading the two to miss the international adventure.
Brinkley’s attorney, however, called the filing “petty.”
“Peter Cook somehow believes that the only way he can repair his image is to use the court and the media to make scurrilous claims about Christie Brinkley,” Brinkley’s attorney Peter R. Caronia said in a statement to Access Hollywood.
“His latest filing is unfounded, unwarranted and petty.”