In this paper,a statistic examination on the frequencies of annual and monthly precipitations in Shanxi Province has been made. The result sho-ws8(1)the annual precipitation follows the normal distribution,(2)the monthly precipitation, after having its cubic root be transformed, follows normal distribution for 83% of all the stations,(3)among the monthly precipitations, those at 58% of all the stations follow the γ(Gamma) distribution and(4)in estimating the montlily precipitation frequencies, the adoption of normal distribution model is suggested.