Abstract: The method of manufacturing a mechanical basket (P) of substantially cylindrical shape for centripetal or centrifugal flow relative to an axis (R) and comprising rings (A) lying in planes perpendicular to the axis of revolution and wires (F) rigidly connected to the rings at regular intervals for the purpose of sieving a material is characterized in that assembling a wire (F) to a ring (A) comprises a first operation of putting said wire (F) into position in a corresponding notch (EN) in the ring, and a second operation in which the wire is welded to the ring by melting a shoulder (EP1) of the ring, without adding any filler metal. In the method, a mechanical basket is made that presents better mechanical characteristics so that its lifetime is increased, and its cost of manufacture is reduced compared with conventional mechanical baskets.