"Our relationship will never be fixed," said Jon during an interview that aired during Tuesday's Good Morning America broadcast.
"She has her film crew and I have my film crew. But I can't sit on the sofa with that woman. I can't sit [next to] someone right now that I despise. I despise [her] because she's not speaking from the heart. Please, the stuff you tell me in private should be the stuff you tell me on TV."
Jon was presumably responding to recent comments Kate made during an interview with People magazine in which she jokingly attributed his behavior to alien abduction and added sometimes it feels like she's getting divorced from a 15-year-old.
According to Jon, Kate's recent media comments are similar to the way he was frequently treated during their decade-long marriage.
"I was verbally abused. I was beaten down," he told GMA. "She separated me from my family. She used to hold the kids over my head and say, 'Don't spend time with your mom. Spend time with your kids.' Why can't I spend time with my mom and my kids together? I'm not going back to that lifestyle."
In addition, Jon expressed frustration at the way Kate is being portrayed as a victim and he's being portrayed as the bad guy.
"I don't cry, I cried at my dad's funeral, that's it. [But] I've cried more now in the last eight months than my whole entire life," Jon told GMA.
"It's so frustrating. I have no voice in the media. Now I do. I just want to let the world know that I'm a real person with feelings. Yeah, okay, I made mistakes. Maybe it wasn't the best idea to go out to the clubs. But we all learn from mistakes, except mine are public."
Jon claims those "mistakes" he made by going out to various clubs and bars at all hours of the evening were a result of getting married and having children too soon.
"I got married at 22, I had twins at 23, I had sextuplets at 27 -- bye-bye twenties," Jon told GMA.
Jon also reiterated previous claims he made in In Touch Weekly's August 17 issue, in which he stated he took of his wedding band off and left it in the apartment above the garage at the couple's Wernersville, PA home that he resides in when he has custody of the kids one day.
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When he returned the ring was gone, and he alleged Kate took it because "she's the only other one with a key."
"I think she still wears [her] ring for public perception. I don't wear my ring because she took my ring," he told GMA.
"I don't have the ring. I let it down one day and it was gone. Who else would take it? I checked underneath all my kids' pillows. That's where everything ends up in the house anyway. It wasn't there."
During the interview, Jon also accused Kate of "feeding into the frenzy" by speaking to the media about their failed marriage.
"I would say let's finish what we got to finish and move on with our lives and stop feeding into the frenzy," Jon told GMA when asked his thoughts about the couple's press coverage.
Kate declined to respond to Jon's interview comments.
"While I certainly have a very different perception of how our marriage dissolved, for the sake of my children I maintain that I'm not going to go into details of aspects I believe should remain private," she said in a statement to ABC News.