The far-flung ocean has abundant resource and the exploitation area of ocean oil and gas is developing from offshore to deepwater and ultra-deepwater following the increase demand for oil and gas resource. Therefore, one of the floating structures for deepwater exploitation is FPSO. In this article, the coupling hydrodynamic problems of FPSO and mooring system have been studied and analyzed by using the three dimensional potential theory, the FPSO's mooring system is simulated by slender rod theory. In the 1500m deepwater, calculated and analyzed the hydrodynamic and motion of six-Degree of Freedom (6DOF) of FPSO and mooring lines' load of FPSO at the fairlead. Then compared the result of our program with software Ariane by BV, it can be seen that the result of program conform to the actual needs. Therefore, use the program to calculate the hydrodynamic response of Single Point Mooring (SPM) FPSO in South China Sea with the wind/wave/flow. The results indicate that the sway/roll/yaw of SPM-FPSO are quite well while surge motion is a little large. The static and dynamic analysis of FPSO's mooring system is calculated, when the direction of wave/wind accord with the motion, the force of mooring lines at fairlead reach maximum while the moment is minimum.