A filtering system for water and other liquids includes different filtering stages in the same element, with its cleaning being done automatically by a new procedure. The filtering system includes a cylindrical outer casing with the pipe of the water to be filtered penetrating tangentially through its base, using centrifugal force in the first filtering stage to separate the particles with greater density. Then the liquid takes a helicoidal path and passes through different filtering devices, such as mesh or rings with the filtered and, therefore, clean water finally being collected in an appropriately perforated central pipe that comes out of the filter through the center of its lower base. The system is used for the cleaning of liquids, basically water, in agriculture for localized irrigation, in industry, or the environment.