Abstract: The reliability of aseismic structures is measured by using reliability index.The failure criteria of structures to be used is that the structural story-drift responses under earthquake should surpass the structural story-drift capacity. Based on Jc method and wilson-θmethod, this paper presents a time-history analysis method for the deformation capacity reliability analysis of aseismic structures. The random of structural parameters is taken into consideration in this method. By using the method, the structural reliability indexes at any time during earthquake can be calculated.