Experts at the University of Toronto said the network had infiltrated 1,295 computers in 103 countries.
They include computers linked with the Dalai Lama - Tibet's spiritual leader.
The researchers say they have no conclusive evidence that the Chinese government is involved. Beijing has denied any involvement.
The researchers were acting on a request from the Tibetan spiritual leader's office to check whether the computers of his Tibetan exile network had been infiltrated.