In order to study the penetration of the elliptical section warhead on the concrete target, an elliptical section warhead with better penetration characteristics was obtained, and the ballistic characteristics of the concrete-like elliptical warhead were studied. The section characteristic parameters of the elliptical section warhead are defined. The finite element model of the elliptical section warhead under different characteristic parameters is established by LS-DYNA software. The penetration process is simulated and the numerical simulation results are determined by the young formula. The results show that the longitudinal offset of the projectile during the penetration process decreases with the increase of the section characteristic coefficient, and the total penetration depth of the projectile and the section characteristic coefficient change inversely.