Gigi Wu managed to contact emergency services but bad weather delayed rescue operations, local media reports say.
The 36-year-old is thought to have died of hypothermia.
She was a popular figure on social media and messages on her Facebook pages pay tribute to her as an inspirational hiker.
Ms Wu was alone on a multi-day tour in Yushan National Park, home to Taiwan's highest peaks which reach almost 4,000 metres (13,000 ft), the reports say.
