One man died and the other was seriously injured in the incident in Yushu prefecture, which has a large ethnic Tibetan community.
More than 35 Tibetans have set themselves on fire in the last year in apparent protest against China’s rule.
Many of them are reported to have died. Chinese state media has confirmed some incidents but not all.
Foreign media are banned from the region, making reports hard to confirm.
Activist groups said that the two men were in their early twenties. Reports said they were carrying Tibetan independence flags as they set themselves on fire.
China’s state-run Xinhua news agency said one was a local herder and the other a carpenter from Aba county in Sichuan province, where many of the self-immolations have taken place.
Most of the incidents have occurred in ethnically Tibetan areas outside Tibet, but last month two people set themselves on fire outside the Jokhang temple in the Tibetan capital, Lhasa.
China’s leaders accuse the Dalai Lama, the Tibetans’ exiled spiritual leader, of inciting the self-immolations and encouraging separatism.
He rejects this, and both activist groups and the Tibetan government-in-exile say the self-immolations are protests against tight Chinese control of the region and religious repression.
/21 June 2012