Abstract: Take Qingyang gymnasium in Gansu province as study background in this paper.Using finite element software of ANSYS program,the complex spatial shell with sub-structure or not is analyzed under natural vibration;Dynamic response under the effect of 3-dimension El-Centro wave and Taft wave is analyzed;and analyze the influence of different damping radio,different seismic input to its overall performance.It is shown,when considering the interaction between lattice shell and substructure the joint displacement of the reaf structure are enlarged nearly 50%.Therefer,We could consider the fluencies of cooperative performance to large-span complex spatial structure in the structural design.