Sliding mode control(SMC) keeps responses of a structure in sliding surface when the structure is stable. Recently, this method has been investigated for application to seismically excited civil engineering structures because it can design both linear controller and non-linear controller such as bang-bang controller. This paper presents vibration control of the SDOF system using saturated sliding mode controller, of which maximum conrtol force is limited. It is assumed that the response of a structure is stationary random process and control dampers do not affect the modal shapes, and the structure has proportional damping. SMC method can be used to get the equivalent damping ratios of a SDOF system with non-linear control dampers such as friction dampers as well as linear control dampers. The determinated equivalent damping ratios and numerical simulation results indicate that the performance of saturated SMC method is verified.