The passive safety system was applied to the fusion-fission hybrid energy reactor and a RELAP5 model was developed to represent the primary loop, partial secondary loop and the passive safety system components. The transient calculation and research were conducted for stuck pump accident, the SBLOCA on cold leg. The results indicate that the passive safety system can ensure the safety of fusion-fission hybrid energy reactor in the selected reactor accidents and it is feasible to apply the passive safety system to fusion-fission hybrid energy reactor. The decay heat can be exported effectively while the flow area of the heat exchanger of the PRHRs was optimized.Increasing the volume of CMT is of great significance for the reactor safety margin.