A finite element model of hailstone impacting composite structural has been established according to considering the fluent character of the hailstone adequately. The material models, damage criterions of the hailstone and laminate composite plate have been given in this paper, the critical velocity of the hailstone and damage model to composite plate are investigated by explicit finite element method using LS-DYNA. The analysis and simulation results indicate that: the damage criterions of the hailstone and composite plate given in this paper could present the impacting procedure properly; the primary failure model of the composite plate(AS4/8552) is matrix cracking in the process of hailstone impacting, when the hailstone velocity reaches 125m/s, the fiber breakage will appear on the top face of the composite plate, but the compressive failure never occur in the whole process.