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.
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A Met Office warning covering much of England and south-east Wales is expected to remain in place until 11am.
A band of cloud and patchy rain is expected across Scotland and Northern Ireland, moving southeast as the day progresses.