The purpose of the invention is to provide a multi-platform tower that allows production costs to be significantly reduced, since the tower is suitable for different types of turbines. For this purpose, the improvements consist in obtaining a profile which is based on frustoconical sections having various inclinations and which corresponds geometrically with a load envelope obtained from the superimposition of theoretical profiles of respective towers designed specifically for a plurality of different turbines. Given that the lower part of the turbine comprises securing means having a different diameter, it is necessary to include a series of adaptors or reels (4-4′) having a frustoconical configuration and which allow the tower to be adapted to any type of turbine. If necessary, a second adaptor (11), formed consisting of ring in the form of a wedge, could be included, the adaptor modifying the angle of the plane in which the blades rotate, thereby distancing the free end of the blades from the tower.