Heavy wind is usually accompanied by rainfall, the strong wind and rain load will have negative impacts on the reliability of transmission lines, which could result in windage yaw discharge accidents and leads to significant losses of power enterprises and the consumers. Therefore, a probability distribution model is proposed in this paper based on a three-dimensional joint distribution model, including the wind speed, wind direction and rainfall intensity. Firstly, the distribution characteristics of wind speed, rainfall intensity and wind direction are described by the extreme wind speed, extreme rainfall intensity and wind direction angle. Then, considering the probability of wind speed, rainfall intensity, and direction, Archimedean Copulas function is utilized to build the multidimensional joint probability distribution, which can further be used to build the real-time probability prediction model of windage yaw discharge of transmission line. Finally, the prediction model is realized by Matlab programming, and the effectiveness of the proposed probability prediction model for the windage yaw of transmission lines is verified through the realistic power systems data.