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.
While she was famous for posting pictures of herself in bikinis from summits, she was an experienced hiker, appearing to use proper equipment and precautions during her expeditions.