Rupert Murdoch's divorce filing said the "relationship between husband and wife has broken down irretrievably," according to a New York Times report.
It added that a spokeswoman for News Corporation, his media company, confirmed that it was Mr Murdoch who had made the filing.
The spokeswoman added that the divorce would have no impact on the company.
More top news
The England cricketer will miss Wednesday's One-Day International against the West Indies after he was arrested in Bristol on Monday.
The TV star, known for his role in the 1960s sitcom, was also the father of Cherie Blair.
Former Labour Deputy PM who oversaw an explosion in the contracts now says they are "crucifying" the health system.