An agency in London, Free Tibet Campaign, said the two monks aged 18 or 19 years have sacrificed at Kirti monastery in Sichuan province. They have appealed for religious freedom and wished long life to the Dalai Lama before immolate, Free Tibet said in a statement e-mailed.
The New China news agency said in turn that the two men suffered only minor burns and were hospitalized in stable condition.
The brother of one of the monks had also slain by fire on March 16.
Monday, a spokesman for the Chinese Foreign Ministry reiterated that Beijing has identified the reincarnation of the spiritual leader of Tibetans. China maintains that the successor to the Dalai Lama must have been born in a Tibetan region under Chinese control. The Dalai Lama, meanwhile, has said that his successor may have been born in exile and suggested he could identify himself, even suggesting the possibility of choosing a woman.