He established Fo Guang Shan monastery in 1967, aiming to propagate Buddhist humanitarian values.
It would go on to operate hundreds of temples - including the Nan Tien Temple near Wollongong - and seminaries around the world along with universities in Taiwan, Australia, the US and the Philippines.
Hsing Yun died peacefully on Sunday, Fo Guang Shan said.
He had largely withdrawn from public life years ago following declining health and a series of strokes.
Born Lee Kuo-shen in mainland China's Jiangsu province in 1927, Hsing Yun first developed an interest in Buddhism at age 12 while visiting a famous temple in the provincial capital Nanjing.
Hsing Yun moved to Taiwan as the officially atheist Communist Party swept to power on the mainland in 1949.
He became a major donor to Buddhist institutions on the mainland and advocated exchanges between China and Taiwan.
That, and his own public comments, led some to label him an advocate of unification between Taiwan and China although he maintained strong relations with politicians across the spectrum.
Following his death, Taiwanese President Tsai Ing-wen and Premier Chen Chien-jen, whose Democratic Progressive Party favours Taiwan's independence, expressed their condolences and praised his lifetime of humanitarian work.