In order to increase penetrating depth of projectile, straight or spiral groove were shaped on the surface of the projectiles to contrast the projectiles' damage efficiency when penetrating concrete target. Numerical simulations were carried out through LS-DYNA3D and finite element model created by True-grid, and the interaction laws of the three kinds of projectile and concrete target were preliminarily discussed. Meanwhile, the damage efficiency of the three kinds of projectile was obtained. The experimental study proved the feasibility and accuracy of numerical simulations. The result of the research can provide a reference for optimal design of increasing penetrating depth of earth penetrating projectile.