A method of assembling a floating wind turbine platform includes forming a base assembly of the floating wind turbine platform in either a cofferdam or a graving dock built in water having a first depth. The base assembly includes a keystone and a plurality of buoyant bottom beams extending radially outward of the keystone, wherein longitudinal axes of each of the plurality of bottom beams are coplanar. The cofferdam or the graving dock is flooded and the assembled base assembly is floated to an assembly area in water having a second depth. A center column and a plurality of outer columns are assembled or formed on the base assembly, a tower is assembled or formed on the center column, and a wind turbine is assembled on the tower, thereby defining the floating wind turbine platform.