In the paper, a mathematical model including the coupled motions of the ship and mooring cable is developed for simulating the dynamic behaviors of the ship mooring system. Because of the hydrodynamic coupling interaction of the wave, the current and the mooring cable, the analysis for the dynamic response of ship mooring system becomes complicated. The previously developed multi-steps shooting method incorporating with the 4(superscript th) order Runge Kutta method is therefore adopted here and successfully solves the corresponding two-end boundary value problem caused by the mooring cable. The dynamic simulations for six degrees of freedom of ship motions and the behaviors of the mooring cable are then calculated and the detailed analyses have also been made. The results indicate that the mathematical model developed here is physically reasonable and can be applied to predict the behaviors of the ship mooring system and may be regarded as a helpful tool for the designers of the related field.