Large-span spatial structures such as reticulated shells are widely used in practical engineering. Static stability is one of the important contents of structural safety analysis. In order to study the stability of the reticulated shell structure under static loading, a single-layer spherical reticulated shell structure is studied. Based on the multi-scale finite element modeling method, the weak-area joint refinement model, the weak-area rod refinement and the full beam element model are respectively adopted to analyze the stability of the structure under static loading. The results show that the multi-scale model of rod refinement and joint refinement can track the local depression of the rod and the deformation of the joint, which is closer to reality and has higher accuracy in numerical simulation of structural static stability.