Disclosed is a floating wind turbine assembly, including a floating platform and a wind turbine arranged on top of the floating platform, the wind turbine having a mast with a mast axis, of which a lower end is connected to the floating platform, and a nacelle arranged on top of the mast, wherein the floating platform is connected to a seafloor with a plurality of tensioned mooring lines, wherein the mooring lines each include a mooring line axis extending in a longitudinal direction of the mooring line, wherein the mooring line axes intersect each other at a crossing position on the mast axis and at an elevation level at or above the nacelle, as well as a method for mooring such a floating wind turbine assembly.