Abstract: The mechanical properties of E-glass fiber reinforced composites were achieved through tensile test. The elastic constitutive equation of composite was obtained through orthotropic anisotropic constitutive relation of material derived from elastic mechanics and the numerical analysis of stiffness matrix in constitutive relation. The results were applied to Hashin strength criterion to establish orthotropic anisotropic damage constitutive model based on a continuous damage mechanics. The created elastic constitutive model and damage constitutive model gave laminates a three-dimensional model then using the finite element software ABAQUS/Explicit the impact of a projectile through the GFRP composite laminates was simulated. And the simulation results were analyzed. Results show that when the impact load reached a critical material damage value (732 N), the composite plate fractured. The maximum deformation occured and the stress redistributed at 24 μs in the impact process. At this point the stress of composite on traverse section increased outward from 0 MPa to 509.8 MPa. The damage of material gradually decreased from center to outside as a radial pattern in the whole impact process.