The three were all in a car which was battered by falling rocks in the township of Kyirong bordering Nepal when the quake struck at 3.05 p.m. (local time), Chinese run media "Xinhua news agency" reported.
The report said, the Tibetan woman has been identified as Choedon.
'According to Karma Tenzin, an officer with the border inspection station, Choedon was a local resident,' report said, adding: "The two injured people have been taken to a safe place for medical treatment."
Since its devastating 7.9-magnitude quake on April 25, Nepal has been rocked by numerous aftershocks. This is the second tremor so far measuring above 7.
Tibet included the south-central city Shigatse and the western town of Ngari County. Some 47,500 people were made homeless and 300,000 in total were affected, according to Xinhua report.
The report also said 2,500 houses fell across 19 counties in Tibet, with more than 24,700 damaged. The report, citing local publicity department figures, said 82 temples or monasteries were damaged.
"The Nepal earthquake greatly affected Tibet, causing fatalities and huge losses to the local economy," the state run media said last week in a report that quoted unnamed local authorities.