Numerical simulation is first conducted herein of the perforation of reinforced concrete slabs by an ogival-nosed projectile using LS-DYNA. The triaxial test data reported in this paper for the 48 MPa concrete are used to determine the values of the parameters employed in the Holmquist-Johnson-Cook (HJC) model. It is shown that the numerical simulations correlate well with the experimental observations in terms of ballistic limit, residual velocity, impact crater, penetration tunnel and scabbing crater. The response of reinforced concrete slabs to explosive loading is also studied numerically by the fluid-solid coupled method of LS-DYNA. The simulation reproduces the transient process of the shock wave and the main rupture process of the slabs. The numerically obtained pressure-time histories are found to be in reasonable agreement with those predicted by the empirical equations; the failure patterns obtained by the numerical simulation are found to be similar to those obtained experimentally.