Met Police officers were called to the address at Brigstock Road, Thornton Heath, at 9.20pm on Tuesday, June 21, following reports of a stabbing.
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Officers arrived with paramedics from the London Ambulance Service, but the woman was pronounced dead at the scene.

A man in his 30s was arrested at another address in Croydon shortly afterwards and has been taken into police custody.
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He and the woman are thought to have been known to each other.
At this stage, nobody else is sought in connection with the incident.
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Enquiries are still underway to establish the full circumstances of the woman’s death.
The woman’s family have been informed and will be supported by specialist officers, with formal identification and a post-mortem examination still to be arranged.
The police request that anyone with information that may assist their investigation call 101, using the reference 7790 /21Jun.