The official Tibet Daily said part of the monastery, a UNESCO World Heritage Site with a history of more than 1,000 years, caught fire in the early evening.
"The fire was quickly extinguished, there are no casualties and order is normal in its environs," the newspaper said on its WeChat account.
Tibet's Communist Party chief Wu Yingjie has gone to the scene to oversee operations, it added, without giving other details.
Other state media outlets showed pictures of flames leaping into the sky and water being sprayed on them by the fire services.
The Chinese government routinely rejects accusations from rights groups and exiled Tibetans about repression of the largely Buddhist Tibetans, saying its rule has brought prosperity to what was once a poor and backward place.
Beijing has also made a great show of the amount of money it has spent to preserve and protect traditional Tibetan culture, including the many temples and monasteries that dot Tibet.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.