The large universal finite element software ANSYS was used to analyze a 40 meters single span reticulated shell K8. The analysis includes static stability analysis and dynamic stability analysis. Static stability analysis includes linear elastic buckling analysis, geometric nonlinear stability analysis and bi-nonlinear stability analysis. The ultimate load factor of reticulated shells which has different defects was calculated, and the sensitivity of defects was analyzed. The reasonableness of using ideal elastoplastic model to simulate steel Q235 was discussed. Dynamic The large universal finite element software ANSYS was used to analyze a 40 meters single span reticulated shell K8. The analysis includes static stability analysis and dynamic stability analysis. Static stability analysis includes linear elastic buckling analysis, geometric nonlinear stability analysis and bi-nonlinear stability analysis. The ultimate load factor of reticulated shells which has different defects was calculated, and the sensitivity of defects was analyzed. The reasonableness of using ideal elastoplastic model to simulate steel Q235 was discussed. Dynamic stability analysis includes modal analysis and transient dynamic analysis. The modal analysis of reticulated shell was done and the effects of static load, which generate stress and deformation, on the natural frequencies of reticulated shell were investigated. The taft wave was used and scaled its amplitude to 0.3g or 0.4g, transient dynamic analysis of reticulated shell was done. The dynamic response was compared and useful conclusions for the design of engineering structure were made.