"His hip is a bit sore," said a spokesman for the Scot, who had been due to face Frenchman Lucas Pouille.
Murray's withdrawal was precautionary and the two-time Wimbledon champion intended to play at the club on Friday, the spokesman said.
Murray added the two matches at the Aspall Tennis Classic to his schedule to gain grasscourt practice after a surprising first-round exit from last week's Aegon Championships at Queen's Club.
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Murray's form has been patchy during a 2017 season that has been disrupted by shingles, an elbow injury and influenza.
Wimbledon begins on July 3.
(Reporting by Neil Robinson; editing by John Stonestreet)
