In order to solve the problem of large-scale power outage caused by multi-branch faults in the distribution network after the disaster, a rapid recovery method for multi-branch faults in the distribution network based on improved heuristic rules and Nash game was proposed. Firstly, the non-fault power loss area of multi-branch faults was quickly recovered by improving the heuristic rules. Secondly, a multi-objective optimization reconstruction model was constructed, and a large number of infeasible solutions generated in the optimization process were eliminated by using the non-infeasible decoding method, and the Pareto optimal solution set was obtained by solving the model. Finally, the non-cooperative game model in the optimization decision of fusion engineering is used to select the optimal solution of Nash equilibrium from the Pareto solution set to complete the reconstruction. By improving the 29-node and IEEE136-node systems, the results show that the proposed algorithm can quickly complete the fault recovery and find the equilibrium solution of the multi-objective reconstruction game model, which significantly improves the reliability of the distribution network operation.