Officers attended along with the London Ambulance Service and found a woman in her 40s suffering stab injuries. She was pronounced dead at the scene a short time later.
Her next of kin have been informed. A post-mortem examination and formal identification will take place in due course.
A 28-year-old man was arrested at the address on suspicion of murder. He remains in custody.
At this early stage, no other suspect is sought in connection with the death. It is understood that the deceased and the arrested man were related to each other.
Detectives from Specialist Crime are investigating.
Enquiries into the full circumstances of the attack continue.
Anyone with information that may assist the police investigation should call the incident room on 020 8345 3775 or via 101 quoting reference Cad 6675/28Sep.