In a method of and apparatus for manufacturing a filtering screen, a frame of plastics coated metal or reinforced plastics material is located in a jig and at least two sheets of wire cloths are placed over the frame and their edges gripped by pneumatically operated clamps carried by the jig. The clamps are pneumatically driven outwardly of the frame to tension each cloth in orthogonal directions. The tensioned cloths are pressed against the frame and heated in order to bond the cloths to the frame. The heated material is allowed to cool, and after completion of the bonding step the clamps a released, allowing the frame to be removed from the jig. Where necessary the cloths are trimmed back to the edges of the frame. A separate set of pneumatically operated clamps may be provided for gripping all four edges of each wire cloth layer to allow each layer to be individually tensioned.