The media mogul and actress-model made the announcement in the births, marriages and deaths section of the Times newspaper, which is owned by Rupert Murdoch’s News Corporation company.
It will be the fourth marriage for Rupert Murdoch, 84, and the first for Jerry Hall, 59, although she lived with singer Mick Jagger for many years.
The new relationship reportedly began in the summer. A spokesman said: “They have loved these past months together.”
He added they were “thrilled to be getting married and excited about their future”.
Australian-born Rupert Murdoch, who now has US nationality, split up with his third wife Wendi Deng in 2013.
Jerry Hall’s 23-year relationship with Rolling Stones frontman Mick Jagger, with whom she had four children, ended in 1999.
Rupert Murdoch and Jerry Hall were first spotted together in public in October 2015 at the Rugby World Cup final in London between Australia and New Zealand.
The Times reports Rupert Murdoch and Jerry Hall were introduced to each other in Australia by one of the mogul’s sisters and his niece.
It says the couple got engaged while in Los Angeles at the weekend, where they attended the Golden Globe awards ceremony.
The notice in the paper reads: “Mr. Rupert Murdoch, father of Prudence, Elisabeth, Lachlan, James, Grace and Chloe Murdoch, and Miss Jerry Hall, mother of Elizabeth, James, Georgia and Gabriel Jagger, are delighted to announce their engagement.”
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