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The penetration of high-speed warheads is an important issue in the field of military protection. The finite element simulation software ANSYS / LS-DYNA is used to simulate the process of high speed warhead penetrating the target plate. The Johnson-Cook constitutive model is used to describe the penetration process. The velocity, acceleration, energy change curve and VonMises stress cloud of the 6 mm target penetrating with a speed of 1 300 m/s are obtained. In this case The deformation and dynamic response of the target are visually displayed.It helps to analyze the high-speed warhead impact process. It is proved that the feasibility and superiority of ANSYS/LS-DYNA finite element simulation in analyzing the penetration problem are of great significance to improve the design of warhead and protective material. And it provides a new way and idea for the research of high-speed impact experiment of protective material design.