When an extreme fault occurs in AC/DC distribution network, the optimized control strategy of controllable distributed energy resources in outage area and corresponding voltage source converter (VSC) have a significant impact on the continuous and stable power supply of critical load, the degree of resilience has also improved accordingly. This paper proposed a resilience operation strategy model for AC/DC hybrid distribution network that takes into account coordination of distributed energy storage and VSC. Firstly, the resilience evaluation index systems of AC/DC distribution network based on load ranking is established. Then, the multi-objective resilience operation model of AC/DC distribution network is established with object of minimum load interruption time and minimum power loss. The proposed model is solved by the improved non-dominated sorting genetic algorithm-II (NSGA-II) embedded in greedy search mechanism to obtain optimal control strategy of distributed energy storage and VSC. Finally, the results of case study show that the proposed method can effectively enhance the resilience of the distribution network and improve the degree of utilization for distributed energy resources by formulating an optimal control strategy of distributed energy resources and VSC, and the resilience of the distribution network will be improved with increase of distributed energy storage capacity.