To improve the service quality and the emergency ability of electric vehicle public charging station in case of emergency, and reduce the operation cost of emergency response. This paper combines the location decision-making problem of charging station, considering the uncertainty of user demand and the complexity of emergency situation, by charging station location service efficiency, charging station risk minimum and "pre location and additional location" two-stage economic cost minimum as the goal, Based on the traditional p-median model and the multi-objective emergency location model, a two-stage multi-objective interval p-median model is constructed. In the first stage, there are uncertain factors in demand and facility damage, a "pre location" model based on p-median is constructed depends on the uncertain demand model to simulate the different demand of charging station in the emergency situation; in the second stage, a "additional location" model of reactive repair adjustment strategy is established according to the information after the paralysis scenario. The interval fuzzy set theory is introduced to transform the model, and the immune optimization algorithm is used to solve and analyze the model, so as to get the charging station optimal location scheme under the charging interruption situation is obtained. Finally, taking a certain area of Xi"an as an example, the paper verified the feasibility and effectiveness of the model,so as to provides necessary decision-making reference and support for the scientific location of electric vehicle charging station under the situation of charging interruption.