The 21-year-old, from Worthing, West Sussex, was last seen on the Cambodian island of Koh Rong late on October 23.
Police said that body markings, including a tattoo, meant that "it's nearly 100 percent her".
Tim Loughton, MP for East Worthing and Shoreham, tweeted: 'Devastated to hear the terribly sad news about Amelia Bambridge this morning - the thoughts and prayers of everyone in Worthing are with her family and friends'.
Her family were alerted and Amelia's mother, father, brother and aunt began the journey over to the island to assist.
This month a Cambodian court charged three men with gang-raping a French tourist in the coastal province of Kampot after offering her a ride in their vehicle. "The family members of Bambridge, were added as local authorities, the remains were found.' From an initial examination, it would be revealed that she was killed by drowning". He did not speculate on what happened to her after she disappeared having attended a beach party on 24 October, but earlier this week he said she may have drowned.
Amelia, who saved for the trip for two years by working at Lloyds bank, had set off on September 27, flying first to Vietnam.
He said Bambridge's family was with the authorities when they found the body floating amid some rocks off Koh Chhlam, an island in neighboring Koh Kong province.
A search party consisting of about 150 volunteers including divers, navy personnel and visitors took on the challenge of finding her.
Search efforts quickly commenced when she failed to check out of her hostel the following day.
The mystery deepened after police held six men for questioning but they were found not to be involved and released. "Please respect the family's privacy at this hard time".
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