Global stability analysis cannot be ignored for large-span spatial steel structures. Beijing Jiangtai Winter Garden adopts hybrid structure with latticed shell and vertical cables, on which glass curtain wall is fixed. Therein the reticulated shell is composed of 9 spatial arches and other common frames, thus it can be seen as arch-reticulated shell hybrid structure. This paper analyzes the stability of one single arch structure which has the largest span in the whole structure, including buckling analyses and non-linear full range analyses. The results show that the stability of single arch meets requirements, and the nonlinearity has great influence on the stability of single arch structure. Besides, although the initial geometric imperfection has certain effect on the elastic structure, it has little effect on the elasto-plastic one.