The management of interruptible load is a kind of dispatching method of distribution network. It is important to study its influence on power supply capacity of distribution network. The current research only involves the improvement of power supply capability of the distribution network after the user is added into the classification. It can not effectively manage and use the load, and can not realize the effective distribution of interruptible load on improving the supply capability of distribution network. An optimized model of interruptible user scheduling is established in this paper. In the model, the value of power supply capability of distribution network in unit period is used as optimization variable, the highest similarity of the curve shape between TSC considering interruptible load and the daily load of the distribution network and the maximum power supply capability of distribution network at different time periods are taken as optimization objectives. The genetic algorithm is used to obtain the Pareto optimal solution set, and decision-making based on DM-level analytic method is adopted to select the most satisfactory scheduling scheme. A numerical example is provided to verify the effectiveness of the proposed model and algorithm. This work is supported by National Natural Science Foundation of China (No. 51607068).