A floating wind turbine comprising a hull, a wind turbine mounted on top of the hull and a counterweight suspended below the hull by means of counterweight suspension means, wherein - the counterweight comprises one or more counterweight buoyancy tanks; - the counterweight buoyancy tanks have dimensions such that when the internal volume is filled with air or another gas, the total buoyancy of the counterweight is close to or greater than its weight, making it capable of floating in a towing / maintenance position with moderate or no support in the vertical direction from the hull or other vessels; - when the counterweight buoyancy tanks are partly or completely flooded with water, the counterweight will sink to an installed position at a level determined by the counterweight suspension means; and - the counterweight suspension means are separately or jointly capable of transferring both forces and moments to the hull, thereby enabling the counterweight to stabilize the hull when the counterweight is in its installed position; - the counterweight is shaped as a polygon comprising a set of buoyancy tanks at each corner of the polygon, characterised in that each corner is connected via respective suspension means to at least two separate attachment points on the hull, wherein the hull is implemented as a tetrahedral structure and has a hull bottom arrangement comprising three lateral braces interconnecting three lateral nodes, each lateral node comprising a set of hull buoyancy tanks; and where each lateral node is connected via respective suspension means to at least two separate attachment point on the counterweight, wherein the tetrahedral structure comprises a central column, three diagonal braces, three radial braces, and the three lateral braces; wherein, at an apex of the tetrahedron, the three diagonal braces are connected to the central column at a transition piece, which also serves to connect a tower of the wind turbine to the hull; wherein at a center of the bottom of the tetrahedron, the three radial braces are connected to the central column at a bottom node; wherein, at each corner of the bottom plane of the tetrahedron, one of the diagonal braces, one of the radial braces, and one of the lateral braces are connected at a lateral node, where the set of hull buoyancy tanks are arranged. - the counterweight comprises one or more counterweight buoyancy tanks; - the counterweight buoyancy tanks have dimensions such that when the internal volume is filled with air or another gas, the total buoyancy of the counterweight is close to or greater than its weight, making it capable of floating in a towing / maintenance position with moderate or no support in the vertical direction from the hull or other vessels; - when the counterweight buoyancy tanks are partly or completely flooded with water, the counterweight will sink to an installed position at a level determined by the counterweight suspension means; and - the counterweight suspension means are separately or jointly capable of transferring both forces and moments to the hull, thereby enabling the counterweight to stabilize the hull when the counterweight is in its installed position; - the counterweight is shaped as a polygon comprising a set of buoyancy tanks at each corner of the polygon, characterised in that each corner is connected via respective suspension means to at least two separate attachment points on the hull, the hull is implemented as a tetrahedral structure and has a hull bottom arrangement comprising three lateral braces interconnecting three lateral nodes, each lateral node comprising a set of hull buoyancy tanks; and where each lateral node is connected via respective suspension means to at least two separate attachment point on the counterweight, wherein the tetrahedral structure comprises a central column, three diagonal braces, three radial braces, and the three lateral braces; wherein, at an apex of the tetrahedron, the three diagonal braces are connected to the central column at a transition piece, which also serves to connect a tower of the wind turbine to the hull; wherein at a center of the bottom of the tetrahedron, the three radial braces are connected to the central column at a bottom node; wherein, at each corner of the bottom plane of the tetrahedron, one of the diagonal braces, one of the radial braces, and one of the lateral braces are connected at a lateral node, where the set of hull buoyancy tanks are arranged.