Mr White purchased two hut tickets for the Heaphy Track and was dropped off at the Takaka end on August 6.
Members of the public subsequently reported seeing him near the Karamea end about August 10.
Searchers began fearing the worst when they found his pack on Wednesday August 21, the day the search began, Mr Judd said.
The remains would undergo forensic analysis before the body could be formally identified. However, given the location, 6km north of where Mr White was last seen, police were confident it was the missing man.
They might never be able to establish when he had died.
Mr Judd thanked the large number of volunteers from Hokitika, Murchison, Reefton, Nelson, Westport and Karamea for their efforts over the last two days.
General public feedback had also helped with the search, he said.