The team camped with him on the mountain overnight.
The group was picked up around 9.30am today once weather conditions had improved.
Rescue Coordination Centre New Zealand (RCCNZ) co-ordinator Dave Wilson said the incident highlighted the importance of personal local beacons - and getting them registered.
The tramper had hired the beacon but not had it registered.
"Without a beacon, it could have been a long time before he was missed - and by then the outcome could have been very different," he said.
"Had the beacon been registered, we would have had details of emergency contacts and these could have been checked to find out how many people were in the party and what their intentions were. This could have aided with the search."