Machine comprising a first support (1; 31; 38; 48; 53) for supporting a bobbin (2), wherein a rotor (5) can rotate around a main axis (3) for stranding wires (7) and winding or unwinding around the main axis (3) a strand (8) or the like comprising these wires (7), while the first support (1; 31; 38; 48; 53) can move along the main axis (3), which rotor (5) is provided with a second support (16; 32; 39; 49; 54) which rotates with the rotor (5) around the main axis (3) and can move along the main axis (3) for supporting the bobbin (2), wherein the first support (1; 31; 38; 48; 53) and/or the second support (16; 32; 39; 49; 54) rotate the bobbin (2) around the main axis (3) when the rotor (5) rotates around the main axis (3).