Abstract: A new robust terminal guidance law based on nonsingular Terminal sliding mode is proposed for the case of missile interception.Based on the terminal variable structure control theory in which the tracking error on the sliding surface can converge to zero in a finite time,a nonlinear term is introduced into the traditional linear sliding mode design of the Terminal guidance law.Considering the maneuvering acceleration of targets as a disturbance with known boundary and making an adaptive estimation to extremes in real time,a nonsingular terminal sliding mode guidance law(TSMG) is presented.Controlled by TSMG,the rate of the line-of-sight(LOS) angle between missile and target can converge quickly,which ensures the missile has higher guidance precision.Simulation results show that the TSMG law is effective.