The correlation in a spar-type offshore floating wind turbine-generator system under a field wind condition between the power output fluctuations and the floating platform motion is analyzed through a numerical simulation, in which various control parameters for the rotor speed by the pitch angle manipulation and the two types of load torque manipulations are employed. The results show the trade-off relationship in high wind speeds and regular wave between them and the significant influence of the floating platform motion on the damage equivalent fatigue loads in the main parts of the system. Based on these results, a control guideline, in which the floating platform motion should be suppressed for the reduction in the damage equivalent fatigue loads in priority to the reduction in the power output fluctuations, is derived.