Smooth particle hydrodynamics(SPH)method is used to study the characteristics of hydraulic jumps in a stilling basin with two kinds of sinusoidal corrugated beds under five conditions. Numerical results were compared with existing experimental values to verify the feasibility and applicability of the proposed numerical model and method. Characteristics of the water surface profile, the velocity distribution, the length of hydraulic jump, the conjugate depth ratio and the energy dissipation rate were analyzed. The present research shows that the results of SPH method is in a good agreement with experiments. The velocity distribution in the hydraulic jump section is non-uniform with relatively intensive free surface fluctuation. Eddies are formed due to the relative motion between the flow layers. With the increase of Fr number under the same conditions, the aeration and the free surface breakage phenomenon are more severe, and the influence range of the eddies gradually becomes wider. The energy dissipation rates on corrugated beds in all cases are above 47%, about 10% higher compared with those on smooth beds.