Constable Philip Simmonds, of Arthur's Pass, said until the body had been retrieved, identified and next of kin informed, they would not be releasing any identifying information.
This morning, the NZCC Rescue Helicopter was sent up to recover the body, but while waiting for the cloud to clear it was diverted to another tramping accident behind Franz Josef.
The Rescue Co-ordination Centre said the patient was part of a group of four. It was not immediately clear where they were from but the man had numerous broken bones after falling on Mount Elie de Beaumont. Due to conditions, the helicopter could not reach him last evening.
A team from DOC's Mount Cook Alpine Cliff Rescue reached the accident site this morning, stabilised the victim and brought him out on a Helicopter Line machine.
Senior sergeant Antony Callon said the man had fallen off an alpine glacier.
"The man fell a considerable distance and will be transferred to Christchurch Hospital for medical treatment," Mr Callon said.
Rescue helicopter pilot Angus Taylor said the injuries appeared "reasonably serious".
The Greymouth-based helicopter later headed back to Arthur's Pass to recover the body of the other climbing victim.
- Greymouth Star