In order to improve the ballistic stability of penetrating projectile obliquely penetrating multi-layer concrete target， the structure design of head grooved projectile and pointed oval projectile is proposed. Numerical simulation was carried out based on LS-DYNA software， and two projectiles penetrating 10-layer concrete target were tested. Research shows that in the process of penetrating single-layer concrete thin target， the attitude deflection angle of projectile increases with the increase of initial attack angle， and the attitude deflection of grooved projectile is relatively small compared with that of sharp oval projectile. Compared with the test results of penetrating 10-layer concrete target， grooved projectiles can significantly reduce the deflection attitude of projectiles relative to Ogive-nosed projectiles， which has good ballistic stability and provides reference for the design of projectile with ballistic stability of penetrating multiple targets.