A machine for symmetrical stranding of at least two wires includes wire magazines in a number corresponding to the number of wires, from which magazines the wires are fed out. Rotatably arranged about an axis of rotation (38) is a flyer (31) having outwardly directed bow-shaped or semi-circular arms (32, 33) connected, on one hand, with a tubular, motor-driven drive sleeve (36) rotatable about the axis of rotation and, on the other hand, with a runner sleeve (43) which is freely rotatable about the axis of rotation (38). Each arm (32, 33) has a plurality of wire guides (34, 35) for controlling a wire (26'', 20'') along the arm concerned (32, 33) between the drive sleeve (36) and the runner sleeve (43). A first wire magazine (10) is arranged around the axis of rotation (38) and inside the path of rotation of the arms (32, 33). A first wire (26'') is led downwards and through first control means (27, 28, 48) and the drive sleeve (36) to the wire guide (34) of a first arm (32). A second wire magazine (25) is provided outside the path of rotation of the arms (32, 33). A second wire (20'') is led downwards through second control means (21, 22, 23, 45, 46) and the drive sleeve (36) to the wire guide (35) of a second arm (33). Provided on the runner sleeve (43) on the axis of rotation is a stranding point (47) for stranding together the wires and a non-rotatable outfeed means (45, 49, 50) stationary in space and adapted to receive the standed wires.