Peridynamics(PD) is a continuum theory based on the idea of non-local interaction and spatial integral equation modelling. In order to accurately describe the failure process and evolution of the projectile penetrating the concrete target plate, the non-local PD model is proposed. The modified PD constitutive model is used to simulate the dynamic failure process of the projectile penetrating the concrete target plate and the failure characteristics of concrete target plate under different impact velocities are discussed. The process of concrete damage accumulation and progressive failure is obtained.