An apparatus (1) for making an antenna (22) for a radio-frequency identifying device, said antenna being made with a flexible wire (6), or a braid of flexible wires in electrically conductive material, comprises: - a forming device (2; 2a; 2b) that can rotate around a rotation axis (A), said forming device (2) being provided with shaping elements (10) that can be moved in a direction parallel to said rotation axis (A); - a guiding device (3) provided with a guiding element (4) for guiding said wire (6), said guiding device (3) being movable in at least one direction (Fl) substantially perpendicular to said rotation axis (A); - at least one gripper device (13, 14) suitable for immobilising a free end (6a) of said wire (6). A method for making an antenna for a radio-frequency identifying device, said antenna being made with a flexible wire (6), or a braid of flexible wires, in electrically conductive material, comprises: - setting up a forming device (2; 2a; 2b) provided with shaping elements (10; 10a; 10b) tha
