Abstract: According to the full-range nonlinear dynamic response analysis method,dynamic stability of geodesic single layer reticulated shells under earthquake excitation is discussed systematically.Primary parameters are taken into account,such as combinations of vertical and horizontal earthquake action,material nonlinearities,rise to span ratios,initial geometric imperfection,cross-sectional areas of members,supporting condition,structure damp and different earthquake waves and so on.The results obtained in this paper can provide a valuable reference for practical design of reticulated shells.