Guidance and control law design for an interceptor equipped with both aero fins and side jets was discussed. Since the aerodynamic lift force for generating available norm load is not enough at high altitude, side jets are introduced into the interceptor dynamics to increase its maneuver capability for improving the interception precision to a maneuvering target by comparison with a traditional missile equipped with only aero fins. The side-jet missile dynamics was described with a hybrid impulsive switching system model. A sliding mode guidance law and a logic-based switching function for turning on the side jets were both proposed to generate desired guidance commands. Simulations and comparisons verify that the sliding mode guidance law and logic-based switching law are sensitive to target-s maneuvering and the end-game miss distance is smaller than 0.1m which represents the interceptor directly hits and kills the target.