Carbon capture and storage plus compressed CO2 energy storage (CCS+CES) is gradually moving from conceptual design to feasible studies. Underground salt caverns are ideal locations for implementing CO2 geological storage. However, earthquakes are among the natural disasters that impact underground salt cavern safety. Based on plastic deformation combined with salt rock self-healing characteristics, this study demonstrates that largescale salt-cavern CO2 storage facilities are repairable under moderate seismic. This study evaluates the impact of salt layers on seismic wave propagation using site transfer functions, while seismic acceleration histories are simulated using the trigonometric series method. Based on the typical operating conditions of CCS+CES, a finite element model is established to analyze the seismic performance of CO2 storage under different salt rock layer thicknesses and internal pressures for magnitude 5 earthquakes and temperatures of 40 degrees C. Then, this study proposes safety evaluation criteria and self-healing criteria for the salt cavern under seismic loading. A comparative analysis is conducted on the damage and self-healing potential of the salt cavern under different conditions. The results show that thicker salt layers result in smaller displacement and stress in the cavern, while higher internal pressure leads to a more significant increase in displacement and stress. According to the failure criteria for salt caverns, the likelihood of failure under moderate seismic loads is low. As a comparison, the seismic response of the salt cavern and the salt cavern with an interlayer under a magnitude 7 earthquake is also studied. The results show that under strong seismic loads, both the salt cavern and the salt cavern with an interlayer are likely to experience failure.