Bill Hudson divorced the Private Benjamin star in 1980, when Kate was just a year old.
Hawn went on to date fellow actor Kurt Russell and they brought up the two kids together.
But, in his upcoming tell-all memoir, Bill claims Hawn made it difficult for him to spend time with the tots, and their fighting became so bad, he eventually just stopped trying.
The lack of visitation meant many knock-down, drag-out fights (with) Goldie
In an excerpt from Two Versions The Other Side of Fame and Family, published in America's Star magazine, Bill writes, "The lack of visitation meant many knock-down, drag-out fights (with) Goldie. (The kids) didn't realise that I was slowly but surely being replaced as their father figure".
Bill Hudson remains estranged from both Kate, now 32, and Oliver, 35, and he admits he will never get over the pain of losing touch with his eldest kids, adding, "I will honestly regret that decision until the day I die".
But he will never give up hope "I realise there's nothing I can do to fix it (estrangement from kids), but I hope there is eventually a resolution".
The 61 year old also has two kids, Emily and Zachary Hudson, from his marriage to Laverne and Shirley star Cindy Williams.
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