Based on the uncertainty and time-varying characteristics of Distributed Generation (DG), a wind-photovoltaic- storage stochastic planning model of distribution network is presented in this paper. Firstly, the time-varying and uncertainty probability distribution of Wind Turbine Generation (WTG) output and Photovoltaic Generation (PVG) output are modeled in detail. The charging and discharging constraint and capacity constraint model of Energy Storage System (ESS) is also given. In order to make the planning model fully integrated into the stochastic programming approach, the ARMA model is used to generate a large amount of uncertain operation conditions of the wind power and solar power. Then 10 typical scenarios are selected from above various conditions by the Kantorovich method. In addition, a wind-photovoltaic-storage investment stochastic planning model is presented, which regards investment cost and operation cost as a comprehensive optimization goal while satisfying second-order cone relaxation based branch power flow model, operation constraints related energy storage and DG, security constraints, etc. Finally, the validity of proposed model is verified by the modified IEEE 33-node system. This work is supported by National Natural Science Foundation of China (No. 51807125) and Fundamental Research Funds for the Central Universities (No. YJ201750).