Abstract: The random vibration analysis of stochastic antenna structures under wind excitation is studied in this paper.Based on the structural dynamic characteristic analysis in which the random factor method is utilized,the computational expressions of the mean value,variance and variation coefficient of the mean square value of the structural displacement and stress responses under wind excitations are developed.The random variable's functional moment method and the algebra synthesis method from the expressions of structural random response in the frequency domain are employed.The randomness of structural damping,physical parameters and geometric dimensions is considered.The influences of the randomness of the structural physical parameters and geometric dimensions on the randomness of the mean square value of the antenna structural displacement and stress responses are investigated through a sample antenna with 8 meter caliber.