In this article, we take the project of the glass curtain wall for New Wuhan Railway Station as an example to present the overall analysis on self-balance supported system in the application of glass curtain walls. The member section is selected by the static calculation results of the structure. The upper limit of buckling load is estimated after eigenvalue buckling analysis by applying Finite-Element Analysis Program-Midas. In consideration of the effects of the initial defect and geometry nonlinearities, we analyze the stability of the structure. The work can be provided for reference in determining the plan of the curtain wall structure and accomplishing a large scale project.