Guidance laws are proposed for a near space interceptor with on-off type thrust as out-put. The target-interceptor engagement kinematics is integrated with the first-order dynamics of thruster to design guidance laws. The bang-bang type guidance law with linear sliding mode is pro-posed to deal with thruster dynamics, and the sufficient condition for finite time convergence is rig-orously proved based on the finite-time convergence theory. According to the sufficient condition, a sliding mode guidance law with hysteresis-band switching is introduced to reduce the switching fre-quency of thruster. Then two guidance laws are combined into a composite guidance law to improve the guidance performance. Simulation results show that the line-of-sight angular rate can converge to a neighborhood of the equilibrium point before the final time of the guidance pro-cess, and the composite guidance law has better performance than typical guidance laws.