Her parter fell down a steep slope four days later, The NZ Herald reported.
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The pair, from the Czech Republic, were only reported missing yesterday.
Search and rescue (SAR) staff were deployed in a helicopter and found the woman in one of the huts along the track.
She managed to reach him, however, it’s believed he died not long after.
Police said they launched a search after finding out the couple was missing only on Wednesday morning.
The woman has been taken to hospital for assessment and police expect to speak to her later on Thursday.
The Mountain Safety Council is assisting police with their inquiry into the tragedy.
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.
A Czech tourist spent almost a month living in a Department of Conservation (DoC) hut after her partner fell to his death while they were tramping the Routeburn Track in Fiordland National Park.
Through the months of July and August numerous tourists posted pictures from the Routeburn track on social media.
Sime said the track was not known for being particularly unsafe and even during the winter it was usually easy to find.
He says it is too soon to tell the preparedness of the couple, but it is a reminder to people embarking on such walks that it is crucial to leave details of plans and intentions.
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A source has told ONE News that police are interviewing the woman today about how events unfolded as part of their investigation.
