A 52-year-old man, arrested on suspicion of murder, has been released on police bail after a woman fell from the seventh floor of a block of flats in Hove.
At 5.53am on Saturday, police were called to Clarendon House in Clarendon Road in Hove.
A 33-year-old woman was confirmed dead at the scene.
Her death is being investigated by detectives from the Surrey and Sussex Major Crime Team.
This incident is also being notified to the Independent Office for Police Conduct for their consideration, in view of recent police contact with the two people involved.
The man and woman were known to each other.
Detectives say the investigation is still at an early stage.