Floating wind turbines are one of the new tools for controlling wind energy. Due to the novelty of this tool, the study of the effective parameters in the design, construction, and stability of these instruments has been the main focus of the present study. In this study, the stability of a floating wind turbine based on the displacement of a floating wind turbine has been investigated. For this purpose, FAST software has been used for modeling. One of the important parameters in the stability of wind power floating depends on the wave height. Therefore, in this study, with the change in wave height, an attempt is made to find the relationship between the wave height and the displacement of each 6 degrees of floating freedom. Also, the sensitivity of each floating motion to the change in wave height is checked according to the time histories of displacement of each degree of freedom. In general, it can be said that the effect of hydrodynamic forces on the surge motion is greater than the rest of the floating movements.