Proceeding eigenvalue buckling analysis and geometric nonlinear analysis on schwedler single-layer ellipsoid reticulated shell with analysis software ANSYS, obtain structural buckling mode and ultimate bearing capacity at different short span and different rise-span ratio. Then analyze its impact on static stability of ellipsoid reticulated shell considering load asymmetric distribution and initial defect, conclude stability regular of schwedler single-layer ellipsoid reticulated shell. These study results can provide theoretical basis and technical reference for further studying on static stability of schwedler single-layer ellipsoid reticulated shell and engineering practice.