Christie Brinkley's ex fires back after model's teary interview

(CBS News) Christie Brinkley's ex-husband, Peter Cook, was quick to fire back after the supermodel broke down during a visit to NBC's "Today" show on Tuesday.

Cook attacked Brinkley in a statement, saying the 58-year-old outright lied on national television.

"Christie was entirely dishonest about the circumstances surrounding the current court action which was precipitated by her and ... is doing further damage to our children," he said, reports Fox News. "I am also shocked by the blatant lies she told regarding our divorce proceedings of four years ago, including denying the indisputable fact that she fought for an open courtroom despite the warnings it would harm our children."

This comes shortly after Brinkley got teary-eyed while talking to Matt Lauer, telling the "Today" show host that Cook pays $600 per month for each of their children.

"It's a very minimal amount of money," she said. "And it wasn't (about) the money. I have hesitated to do anything with the court because he actually likes the publicity and he likes going to court."

Brinkley insisted she just wants the fighting to end.

"I just want peace," she said, holding back tears. "And every time I have any joy or any kind of success in anything, he has to try to destroy it."

Brinkley blasted Cook for appearing on countless TV shows, where he talked very openly about their divorce.

"I have never taken part in name calling," Brinkey said.

Brinkley said there should be "legislation that protects families from a spouse who has been diagnosed by the court-appointed forensic psychiatrist as a bona fide malignant or extreme narcissist ... This is something the courts need to come to grips with."

Brinkley, 58, filed court papers in November 2011, arguing Cook violated their 2008 divorce court ruling by sending her "aggressive" emails. According to ABC News, Brinkley is seeking $140,000 in fines and an additional $32,000 in educational costs for their children.

In February, Cook fired back, claiming Brinkley owes him money in newly-filed court papers.

Brinkley and Cook have two children: Sailor, 13, and Jack, 16.