Bill Hudson - who was married to the Hollywood star for four years until 1980 and has two children, actress Kate and Oliver with her - claims his former spouse had a string of affairs during their union, including with actors Warren Beatty and Yves Renier.
In his new book, `Two Versions: The Other Side of Fame and Family`, Bill claims Goldie was very frank about her extramarital affairs.
Detailing an incident where she told him she was having an affair with a Swedish man named Bruno, Bill wrote: "`I have something to tell you,` Goldie said. `I`ve been seeing this guy in Sweden. His name is Bruno, and he`s coming to the States on Monday. He`s going to stay here for a couple of weeks before I leave to start shooting the movie in Denver with George Segal.
"My mouth dropped open. I didn`t know how to respond. `Wait, weren`t we just saying how much we love each other? Didn`t we just make love for days on end? And now you tell me this guy is coming here and staying with you? Are you going to tell him about us?`
"She glared at me but didn`t say a word. That was all the answer I needed. `When you are finished with Bruno, you can call me. You have my number.` And I left."
However, according to Bill, Goldie eventually returned to him in tears and said he was her "soul mate" but she wanted an open relationship.
He claims she told him: "I`m in love with you. You`re my soul mate. I know it in my heart. It`s just that I`ve always believed in an openmarriage."