The actress has been locked in a public war-of-words with Peter Cook ever since their split in 2008 and Brinkley appeared on America's Today show to plead for privacy in the media.
She also confessed she's tired of fighting and just wants to put an end to the hostility for the sake of their kids, Jack, 16 and Sailor, 13, adding: ""Since the day he realised I wasn't coming back, there has been a real character assassination going on. I have a right to peace. I just want peace.""
But Cook has hit back at his ex, accusing her of trying to ""garner public sympathy"" by ""dishonest means"".
In a statement, obtained by TMZ.com, he writes, ""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.
""(Brinkley) will stop at nothing to continue the drama in our lives in order to harass me and keep herself relevant in the media. Clearly, Christie does not believe I was punished enough four years ago for my indiscretions in our marriage, but for the sake of our children I wish she would find a way to move on.""
The former couple's court fight turned ugly in 2009 when a judge overseeing the case ordered Cook be fined $5,000 (£3,125) each time he spoke negatively about the model/actress. Brinkley filed legal papers in November (11), claiming the architect had violated their divorce court ruling a total of 28 times by sending her abusive emails, but Cook denied any wrongdoing.