Metropolitan Police were called to a flat in Argyll Road (SE18 region) at approximately 17:25 on Friday 17 January 2025, following concerns for the welfare of the occupant.
Officers from the Charlton Police division gained entry to the property and found a woman, aged 43, who was deceased.
A post mortem held on Saturday 18 January gave cause of death as blunt force trauma and head injury.
DCI Suzanne Soren, Specialist Crime South, said:
"This is a deeply tragic incident and are thoughts are very much with the victim's family who are being supported by specialist officers."
DCI Soren, concluded:
"At this early stage we believe the suspect was known to the victim and we are carrying out urgent enquiries to trace a named individual."
Anyone with information which could assist the investigation is asked to call 101 quoting ref: CAD 5231/17JAN.
Alternatively those can relay details to Metropolitan Police, anonymously, by contacting the independent charity CrimeStoppers on 0800555111.