Abstract: In this paper,the high order statically indeterminate structures are investigated from the viewpoint of structural system engineering. The FEM incremental limit analysis is proposed to trace the development of plastic hinge of structural components. And the limit state equations including the effects of axial forces could be established for yield failure mode. Using the Ferry-Rackwicz load modeling and advanced first order second moment method. We can calculate the failure probability of stru ctures subjected to various loads.Two numerical examples have been demonstrated to show the validation and efficiency of the presented procedure.