The quake struck at 9:22 p.m. (1322 GMT) and was centred in Zhongba county, a remote region near the China-Nepal border, the bureau said on its website.
A number of aftershocks followed and the Tibetan government had despatched earthquake officials to the sparsely populated region, it said.
The US Geological Survey (USGS) recorded the tremor, which was felt as far as New Delhi, at 6.3 magnitude and at a depth of 35 km.
The quake was strongly felt in some townships and cracks had appeared in some buildings, Xinhua news agency said, citing an unnamed official from Zhongba county, part of Xigaze Prefecture in Tibet, which has a population of about 18,000.
It said local authorities were still assessing the situation in remote townships.
The quake was felt in Nepal and in New Delhi, where witnesses said buildings swayed. In Nepal, authorities said they were trying to find out whether there was any loss of life.
People ran out of their houses in Nepalgunj, 321 km southwest of the capital Kathmandu, they added.
Agencies
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