The Johnson-Holmquist constitutive ceramic model is re-implemented into the LS-DYNA3D program to simulate the penetration of long rod projectile into ceramic/armor steel composite targets.The damage evolution,fracture propagation,and spall damage in the ceramic/armor targets is represented during the simulation procedure and the accuracy of the penetration depth comparing between the simulating and experimental results is reliable with an error less than 8%.The relationship between the mass efficiency factor.differential factor and ceramic tiles thickness is given out for the penetration results with/without a cover plate.