The concert was due to take place on Monday 27 January, with a further 14 nights at the same UK venue.
Fans received a message announcing that refunds for the show have already been issued.
A statement from Madonna in an email sent to fans read: “I am deeply sorry that I have to cancel my concert scheduled for Monday January 27 in London. Under doctors guidance I have been told to rest for a few days.
“As you all know I have injuries that have plagued me since the beginning of the tour but I must always listen to my body and put my health first.”
She continued: “The last thing I want to do is disappoint my fans or compromise the integrity of my show. So I will keep going until I cannot.
“As always – anyone who purchased a ticket will be refunded for tickets purchased that evening.”
The statement added that the show at the London Palladium on Wednesday 29 January will take place as scheduled.
This is the 10th date in Madonna’s sold-out Madame X tour to be cancelled. The star has been suffering from an unspecified injury that she said has been causing her “overwhelming pain”.
In November, she was sued by a fan over claims that she started a concert two hours later than originally billed.
The Independent has contacted Madonna’s representative for comment.
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