The victim, said to be in her 50s, is the 50th person to be fatally stabbed in the capital in 2018.
A man in his 50s was arrested on suspicion of murder at the scene in Tunnel Avenue, Greenwich, southeast London.
He was taken into custody at a South London police station.
Cops rushed to the scene after receiving an emergancy call at 11:30am on Saturday.
Cops believe he knew the victim beforehand, but the incident is not being treated as domestic.
A post-mortem examination will take place at Greenwich mortuary on Sunday.
Cops are working to track down and inform the woman's next of kin of her death.
Anyone with information is asked to call murder detectives on 020 8721 4054.
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