Her physique was found on Friday, round 1.40pm native time, in the Pyke Creek space in Mount Aspiring National Park.
The discovery got here after search groups had found a pack and a pair of trainers believed to belong to Ms Simpson.
The 32-year-old, from the Basildon space in Essex, was reported lacking on Monday. This got here after she didn’t arrive to her gardening job in the Wanaka space, the place she was working having moved their final yr in line with her social media.
She had advised pals that she deliberate to go mountain climbing over the weekend, on New Zealand’s South Island, forward of her disappearance.
An announcement from New Zealand Police mentioned: “Police lengthen their condolences to Stephanie’s household at this tragic time.
“Police would additionally wish to thank everybody concerned in the search because it started on Monday for his or her appreciable efforts to find Stephanie.
“The search was extremely challenging at times, especially in consideration of the terrain, and the work of all involved is to be commended.”
Friends had taken to social media to share an attraction to hint Ms Simpson forward of at this time’s information, whereas a significant search was carried out by authorities.
Sergeant Mark Kirkwood mentioned police prolonged their condolences to Ms Simpson’s household “at this tragic time”