In order to reveal the climate change characteristics in Anding District, Dingxi in Gansu under the background of global warming, the climate changing characteristics over the last 41 years (from 1970 to 2010) in this area were analyzed by means of linear regression and moving average with the temperature and precipitation data from Anding District meteorological stations. Mann-Kendall test was also employed to identify the mutation point and inter-annual variability tendency in temperature and precipitation. In the recent 41 years, annual temperature in Anding District significantly increased (P <0.05) and the increase rates were significantly higher (P<0.05) than that of national average. The mutation tests showed that the annual mutation points of temperature was 1997. The annual precipitation decreased without significance and did not have a mutation point. All of these results revealed that the climate of Anding District was becoming warmer and drier.