The Wimbledon champion had a minor operation in September to correct a disc problem in his lower back.
“I’m really disappointed not to be playing this year, I love playing in front of my home crowd, it’s a great atmosphere,” said Murray.
“All the players look forward to competing in London and I’ll be doing my best to qualify again for the tournament next year.”
Tournament director Andre Silva added: “It’s unfortunate that Andy will be unable to play in this year’s tournament.
“He’s had an historic year on the Tour and of course he’ll be missed. We wish him all the best as he continues his recovery from surgery, and we hope to see him back stronger than ever for the 2014 season.”
Rafael Nadal, Novak Djokovic and David Ferrer are the other three singles players to have already qualified for this year’s tournament, leaving five spots still up for grabs following Murray’s withdrawal.
Juan Martin del Potro, Tomas Berdych, Roger Federer, Stanislas Wawrinka and Richard Gasquet currently hold down the fifth to ninth spots in the race to London.
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