The woman was found on Wednesday in a hut on the Routeburn track which winds through a gorge in the mountains of Fiordland national park in the South Island, The Guardian reported.
According to police, the couple started the hike on July 24 and the woman's partner fell down a steep slope on July 28.
The woman said she climbed down the slope and reached her partner but he died shortly after.
Since then, the woman said, she had been living in Lake Mackenzie Hut, a government-run facility with 50 beds about halfway along the 32km track, the Guardian reported.
Despite the harsh winter conditions she was found in good health on Wednesday by a search and rescue team after concerns were raised with police that the couple had not been heard from since late July.
Police said they would continue to search for her partner's body on Thursday afternoon if weather conditions improved, The Guardian added.
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