Garda Supt Vincent O’Brien told Donegaldaily.com that following consultation with State Pathologist Dr Marie Cassidy, they are satisfied the remains are that of the 22 year old.
The remains will now be released to the Colhoun family tomorrow evening to make arrangements for burial.
The confirmation ends more than eight months of agony for the Colhoun family.
David was last seen on the night of May 22 in Strabane when he escaped police custody after being arrested for being drunk.
The dead man’s father Joe Colhoun said he was sad but relived that the remains are that of his son.
“We can bring this nightmare to an end now. That’s all we ever wanted since the moment David went missing.
“We can bury him in peace now with his mother,” he said.