It comprises a tent or covering with a pyramid-shaped structure (1), with an inner dark-coloured sheet and an outer transparent sheet, installed on a supporting base (9) anchored to the ground or on floats on the surface of the sea, wherein in the apex of the pyramid there are included vaporising means with micronebulisers for nebulising the water to be treated, means for capturing humid air through a continuous or sectioned condensation column (3) and for subsoil distillation and heat dissipation in the smaller, water-collecting tank (4) and recirculation of the air devoid of humidity into the enclosure (1). In addition, it includes a computerised control system of the processes comprising controls of the air and nebulised water flow rates and of the working regime of the facility.