Aiden Webb, 22, from Norwich, set off to climb the Fansipan mountain on his own on Friday.
His body was found by rangers in Sin Chai village at 12:50 local time (06:50 BST), the head of the Hoang Lien National Park told the BBC.
Mr Webb had fallen and hurt himself on Friday, but his phone stopped working the next day, his girlfriend had said.
Mr Webb, an experienced climber, had started his ascent of the 3,100m (10,300ft) high mountain - Vietnam`s tallest - at about 06:00 and planned to climb it in a day.
He had been travelling with his girlfriend Bluebell Baughan, 24, of White Notley, Essex, and she was in contact with him by phone from the nearest town of Sa Pa.
She said he fell into a ravine and told her he had cut his arm open on a rock, hurt his knee and lost his way off the trail.
They were in contact all night and last spoke at about 06:00 on Saturday when it was agreed she should raise the alarm.
His phone then stopped working.
Nguyen Quang Vinh, head of the Hoang Lien National Park in Lao Cai province in the north-west of the country, said: "It is very sad that we found the British tourist body today at 12:50.
"The position is quite near the location that his girlfriend gave us, in Sin Chai village."
Aiden`s father Trever Webb and uncle Michael arrived in Vietnam on Tuesday to join the search.
On Wednesday, he told the BBC that hopes were fading of finding his son alive but he had gained permission to use drones to scour the area, saying the family was "desperate".
Aiden Webb: Body of missing backpacker found in Vietnam
09 June 2016
Read: 1480
A British backpacker has been found dead in northern Vietnam, nearly a week after he was last seen.
-1780923278.jpg&h=190&w=280&zc=1&q=100)
