Joe Tilley’s body was discovered on Saturday at the Fin Del Mundo waterfall close to Mocoa city, exactly a week after going missing nearby.
The 24-year-old, from Leicester, had been volunteering and travelling in central America at the time of his death.
His father Ian Hussey had flown to Colombia in an attempt to find him and set up social media accounts using the handle “Find Joe Tilley”.
An online campaign is aiming to raise £4,500 to bring his body back to the UK and to help pay for the funeral.
A statement on the website said: “At 11:30am local Colombian time on Saturday 12 May, Joe was found at the lower part of the waterfall.
“The search team have suggested he fell. Please give his family continued peace at this hard time.”
Mr Tilley had appeared in a Viceland television documentary called Jungletown.
It featured US entrepreneur Ondi Timoner and hundreds of young people trying to build the world’s “most sustainable modern town” deep in the Panamanian jungle.
In a Facebook post on 4 May, Mr Tilley talked about his experience volunteering in Nicaragua.
He said: “The work we did was amazing and I do think we helped out the community in the long run.
“A massive thank you to everyone who donated.”
A friend said on the GoFundMe page: “(Joe) had amazing people around him who cared (about him) and loved him.
“He deserves all the love he gets and more.”
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Another said: “Joe was the most kind-hearted and free-spirited person and will be greatly missed.”
A spokeswoman for the Foreign and Commonwealth Office said: “Our staff are supporting the family of a British man who has died in Colombia and are in touch with the local authorities.”