He passed away at 4am after suffering a stroke yesterday.
A statement released by Lichfield Studios said: "The Earl of Lichfield died peacefully early this morning."
The 66-year-old photographer, a first cousin once-removed of the Queen, was staying in the Oxford area with friends when he was taken ill.
He was taken to John Radcliffe Hospital in Oxford where members of his family were at his bedside.
The Queen was "deeply saddened" by his death, Buckingham Palace said.
A Buckingham Palace spokeswoman said: "It's a private matter. The Queen is deeply saddened and will be sending private condolences."
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