The imposed snow-capped peaks of Aoraki/Mt Cook National Park in New Zealand.

Rescue teams responded to an emergency location beacon on the Eugenie Glacier this morning where they found the 29-year-old in a critical condition.

She had fallen about 300 metres from the slopes of The Footstool, a 2764m tall peak.

The woman was flown to Aoraki Mount Cook Search and Rescue Base where she died a short time later.

Aoraki/Mt Cook National Park, New Zealand.Source:News Limited

Police investigations indicate the fall was an accident.

“All members of the climbing party, including the victim, were experienced and well equipped,” inspector Dave Gaskin said.

“Weather conditions prior to the accident are understood to have been good.”

The woman’s name is expected to released on Thursday after her family has been informed.