The naked body found on Perranporth beach has been named as 64 year-old Alan Eric Jeal from Wadebridge.
Two callers, including family members, rang to identify the corpse after the force released an artist’s impression on Tuesday.
The investigation is now focusing on Mr Jeal’s movements on the days before his body was found.
A CCTV image has been released showing the last known sighting of Mr Jeal on Monday February 24, the day before he was washed up on to Perranporth beach, shortly after midday, in Wadebridge town centre.
DCI Dave Thorne, senior investigating officer, said: “Firstly, our thoughts are with Alan’s family and friends at this upsetting time and we will do everything we can to support them.
“Now that we know his identity, we can progress with the investigation and try to find out exactly what happened to him.
“He was last seen on Monday 24 February, the day before his body was discovered, and I would welcome information from anyone who knew Alan, or who saw him in the days leading up to his death.”
The items found including the Regatta jacket, wallet and photograph, are understood to have been Mr Jeal’s.
The photograph found in the wallet shows Mr Jeal when he was two years old in the family home.
It is not known whether the rucksack and woolly hat, found nearby on the same day that the body was found, are linked to him.
Mr Jeal lived alone and was not reported missing to police.
He was found naked apart from socks and a walking shoe by a female dog walker on February 25.
It is not known how Mr Jeal died, but police are not ruling out the possibility of murder.
Detective Chief Inspector Dave Thorne of the Major Crime Investigation Team said: “Murder is one possibility of many and we are certainly not ruling it out, but it is only one of many lines of enquiry.”
Anyone with information that could assist with the investigation should call police on 101, quoting log 381 of 1 March.
Alternatively people can anonymously contact the independent charity Crimestoppers on, 0800 555 111.