Murray, who was the men's eighth seed, has a nagging right wrist injury.
"I have done everything possible to get ready for Wimbledon," Murray said. "I have played practice sets the last few days, but still cannot hit a topspin forehand properly."
Murray was hurt at the Hamburg Masters six weeks ago when he hit a forehand while facing Italy's Filippo Volandri. After playing two more points, Murray retired from the match and has not played since.
He has been advised by doctors not to play for at least another 10 days.
No British man has won Wimbledon since Fred Perry in 1936.
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