Taking the precipitation, potential evaporation and average temperature each year in 21 meteorological stations of Weihe river from 1960 to 2010 as research object, this article analyzed the variation characteristics of climatic element by use of climatic trend rate, Mann-Kendall method, accumulated departure and wavelet analysis method. The results are that： ① The annual precipitation decreased by 1.55 mm per year, the annual potential evapotranspiration increased by 0.37 mm per year, the annual average temperature changed slightly, and the trend of these climatic elements were not significant. ②The distribution of annual precipitation decreased from southeast to northwest of the basin, the annual potential evaporation showed a north-south zonal distribution in the eastwest direction, and the annual average temperature also decreased from southeast to northwest. ③The mutation points of annual precipitation took place in 1972, 1976 and 1985, the mutation points of annual potential evaporation took place in 1962, 1968 and 1974, and that of annual average temperature took place in 1977. ④The periods of the precipitation, potential evaporation and average temperature each year all have 17 years and 28years.