New Zealand police on Friday found the body of a British backpacker who went missing in the South Island after the area was hit by heavy rain and floods.
Earlier, they had found "items of interest" in the area which were thought to belong to Ms Simpson, including a pack and a pair of boots.
The discovery was made about 1.40pm in the Pyke Creek area.
It was not immediately clear how exactly she died, and her death has been referred to the coroner.
Police started looking for Simpson after she failed to keep an appointment on Monday and was reported missing.
"Police extend their condolences to Stephanie's family at this tragic time", Kirkwood added.
Sgt Mark Kirkwood, from West Coast Search and Rescue, said police wanted to thank all those involved in the search for their "considerable efforts".
Mount Aspiring national park in New Zealand where Simpson was found dead. De Agostini via Getty Images
He said in a statement the search had been extremely challenging because of the rugged terrain.
Her family arrived to the search area about the same time her body was found, he said.
The 32-year-old was hiking to the Blue Pools, near Makaroa, when she didn't return as expected last Saturday.
"It was a normal weekend tramp".
Simpson, from Essex, is an experienced hiker and very fit, having competed in triathlons and running races, Hazelton said. "That's what she's there for, just to make the most of that free time", Mr Hazelton said.
Thousands of hikers visit New Zealand every year to explore its mountains and wildlife.
Speaking to Sky News prior to her body was found, he defined her as 'really skilled as well as healthy.'.
The park on New Zealand's South Island is described by the country's Department of Conservation as a 'wonderful mixture of remote wilderness, high mountains and attractive river valleys.