A guidance and control arithmetic of hyper velocity kinetic energy missile is designed based on sliding-mode variable structure control. The relevant parameters in the algorithm are designed and adjusted by combining the characteristics of the hyper-velocity kinetic energy missile and the operational mission requirements. The algorithm is used to suppress the chattering problem inherent in the control of sliding mode variable structure, and the modeling simulation confirms the correctness and feasibility of the algorithm. According to the analysis of the simulation results, the hyper-velocity kinetic energy missile can hit its target because of the guidance and control arithmetic, and the processed chattering of sliding mode control can be suppressed.