The report by Xinhua news agency follows a warning by China's top weather official last month that the Himalayan region faced a growing threat of drought and floods as global warming melts its glaciers.
Drought conditions have hit five of Tibet's six prefectures since last year, affecting 15.3 percent of the remote plateau, Xinhua said, quoting the regional drought relief and flood control headquarters.
It also said 13,601 head of cattle had died, but did not say over what time frame the deaths occurred.
Some weather stations had not received significant rainfall in 226 days, the report said.
"The drought has also been worsened by higher than normal temperatures. Tibet has experienced temperatures 0.4 to 2.3 degrees Celsius (0.7 to 4.1 Fahrenheit) higher than normal years," it said, quoting a top Tibetan weather official.
The head of the China Meteorological Bureau, Zheng Guogang, last month was quoted by Xinhua as warning that global warming was accelerating glacial shrinkage, causing Tibet's lakes to swell.
"If the warming continues, millions of people in western China will face floods in the short term and drought in the long run."
Experts have repeatedly warned of catastrophic consequences downstream if global warming continues to melt the snows and glaciers of mountainous Tibet, source of many of Asia's mightiest rivers.