The effect of water depth on the wave making resistance performance is great where Froude number based on the water depth is close to one. The increase of wave making resistance due to the shallow water effect is evaluated by a numerical analysis in the present study. Three-dimensional Navier-Stokes and continuity equations are employed for the present study and the equations are discretized by finite difference method. The interface between water and air is determined by the level set method. In order to validate the numerical method, the change of resistance performance for Wigley hull according to the water depth is evaluated and the computed resistance coefficient is compared with measured one. The present numerical method is applied for the simulation of wave phenomena around a Ro-Pax hull form and the computed results are discussed in the resistance performance point of view.