A 24-year-old man has been arrested after remains were found in two suitcases in Bristol and a flat in west London.
There had been a manhunt in the wake of the discovery of body parts, but police are now not looking for anyone else in connection with the incident.
The man was detained by armed police at Bristol’s Temple Meads station in the early hours of Saturday and taken into custody.
He will be taken to London for questioning later on Saturday.
Investigators believe the remains found at an address in Shepherd’s Bush are linked to those found in two suitcases dumped near Clifton Suspension Bridge on Wednesday.
Deputy Assistant Commissioner Andy Valentine said: “This is a significant development in our investigation and I would like to thank the public for their support.
“We understand the concerns of local communities in both Bristol and London and officers will remain in the Clifton and Shepherd’s Bush areas over the coming days to reassure those affected by this tragic incident.
“Anyone with any concerns is encouraged to speak with them.”
It is thought there are two male victims, although formal identification is yet to take place, according to Scotland Yard.
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A 36-year-old man arrested in connection with the investigation in Greenwich on Friday was released without charge.
It comes after Bristol officers were alerted to reports of a man spotted acting suspiciously on the Clifton Suspension Bridge just before midnight on Wednesday, with a “tatty” suitcase seen to be leaking blood.
The suspect had fled leaving the luggage behind after being challenged by the public.
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Police arriving at the scene a short time later discovered the suitcase, along with a second located a short distance from the bridge, contained human remains.
A taxi was also seized as part of the investigation and its driver questioned.
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Clifton Suspension Bridge reopened late on Thursday after council cleaning teams had attended the scene.
The Grade I listed landmark, which spans the Avon Gorge, was designed by noted Victorian engineer Isambard Kingdom Brunel and opened in 1864.