Abstract: As the last line of defense for nuclear fuels leak, once the containment of nuclear power plant is destroyed by an earthquake, it will lead to serious consequences which will result in great panic at people's psychology.Based on a domestic containment as the research object, this paper establishes a finite element model of containment by finite element software.And this paper respectively makes the static, modal and spectrum analyseis of the finite element model.The purpose of this paper aims to do research on the dynamic response and the failure law under horizontal earthquakes.It is hoped that this paper may providea a reference for the aseismatic design of containment structures.