The invention relates to the field of methods and floating platforms for exploiting wind energy offshore. In particular, the invention provides a floating platform (1) anchored to at least one anchor point (7, 7′), including a wind turbine (2), and a shift device for shifting the wind turbine (2), which device is configured to shift the wind turbine (2) as a function of a set of parameters, including wind direction (V), in order to minimize the aerodynamic wake effects, and the invention also provides a method of exploiting wind energy by means of a set of floating platforms (1), each of which includes at least one wind turbine (2) and is anchored to at least one anchor point (7,7′). In this method, at least one wind turbine (2) of said set of floating platforms is shifted as a function of a set of parameters, including wind direction (V) in order to minimize the aerodynamic wake effects and in order to maximize the power generation of the set of wind turbines.