The projectile will be subjected to asymmetric force even if the rigid projectile normal penetrating into the concrete due to the random factor of concrete, which can produce the ballistic trajectory deflection. In the paper, the meso-scopic model of the concrete is constructed, and by means of the explicit dynamic software of the LS-DYNA, the numerical simulation of a rigid projectile normal penetrating into random-aggregate concrete targets is conducted. Taking the projectile deflexion angle as the index, the influences of the strengths of the aggregate/mortar and the initial striking velocity on the penetration are discussed. The results show that: according to material characteristics of concrete, the mortar and aggregate provide normal penetration projectile with axial resistance, the difference of random non-uniform aggregate acting force and mortar resistance provides projectile with deflexion lateral force. The trajectory deflexion angle will become larger when concrete mortar intensity decreases, on the contrary, the trajectory deflexion angle will become smaller when aggregate intensity increases. Under rigid projectile hypothesis, trajectory will be more stable when projectile penetration speed increases, that is deflexion angle will decrease when target speed increases. If under non rigid projectile hypothesis, the higher speed penetration will cause easier distortion damage, and it will cause deflexion and “J” type trajectory.