Two children and a man have been found dead at Birling Gap.
A dead woman has also been found at her home in Twickenham.
Police have now launched a murder investigation.
The bodies of two young boys, aged seven and ten, and a 57-year-old man were discovered at Birling Gap seafront, near Eastbourne, around 5pm yesterday.
Police launched the search, after a 47-year-old woman was earlier found dead with stab injuries at her home in South Road, Twickenham.
Detectives then set about looking for her missing husband and children.
Police believe they are the deceased woman's immediate family.
A car was recovered nearby by Sussex Police.
Officers from the Metropolitan Police's Homicide and Major Crime Command are leading the investigation, supported by colleagues in Sussex Police.
Post-mortem examinations for all four individuals will take place in due course. Formal identification awaits.
Next of kin have been informed. No arrests have been made. Enquiries continue.
At this early stage, police are not looking for anyone else in connection with this investigation.
Anyone with information is asked to call the Metropolitan Police on 0208 721 4005, or locally to Sussex Police on 101 quoting Operation Glasson.
You can also call Crimestoppers anonymously on 0800 555 111.
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