Police were called by the London Ambulance Service shortly after 2am on Friday, 20 October.
to an address in Lakeside Drive, NW10.
The 29-year-old man was found suffering from stab injuries and was pronounced dead at the scene an hour later.
Officers are in the process of informing his next of kin.
At this early stage, his death is being treated as unexplained.
Formal identification and a post-mortem examination will be held in due course.
A 21-year-woman who was at the scene when officers arrived has been arrested on suspicion of murder.
She was taken to a north London police station where she remains in custody.
The investigation is being led by Brent CID.
Detectives from the Homicide and Major Crime Command have been informed.
Enquiries are ongoing.
Anyone with information concerning this incident is asked to call police on 101 or Crimestoppers anonymously on 0800 555 111.
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