The 65-year-old actor, who has three other children, has requested Kate, 36, the "Rules of Engagement" actor, 38, who he fathered with actress Goldie Hawn, stop using the surname Hudson, as he does not consider them to be his after their hurtful posts on Twitter on Father's Day, reported Female First.
At the time, along with a picture of Bill with the two siblings as young children, Oliver posted to his sister, "Happy abandonment day..."
"I say to them now, 'I set you free'. I had five birth children but I now consider myself a father of three. I no longer recognise Oliver and Kate as my own.