Officers and London Ambulance Service attended and found a man and a woman, both aged in their 50s, inside the address suffering stab injuries.
They were pronounced dead at the scene.
The investigation is being led by Detective Chief Inspector Mark Lawson of the Homicide and Major Crime Command.
Post-mortem examinations will be scheduled in due course.
Next of kin are have been informed. Formal identification of the man and woman awaits.
Enquiries continue to establish the full circumstances of the incident, however at this early stage in the investigation detectives are not seeking anyone else in connection with the incident.
Police are asking anyone with information to call the incident room 020 8358 0200; or to remain anonymous, call 0800 555 111.