To make the turning "on" and "off" of a clutch in an electro-magnetic clutch smoother, the electro-magnetic clutch has a first rotating member rotatable in response to the driving force applied to the input axis, and a second rotating member arranged opposite to the first rotating member and freely rotatable about the rotation axis of the first rotating member and coupled to the output axis. A movable member is coupled to one end of a return spring and is disposed between the first rotating member and the second rotating member for movement along the rotation axis of the first rotating member. An electric coil generates a force to drive the movable member along the rotation axis of the first rotating member. Cylindrical auxiliary slide members are arranged approximately at equal intervals on the movable member and are disposed between the movable member and the second rotating member. The axes of the auxiliary slide members pass through the center of the rotation axis of the first rotating member and extend perpendicular to the rotation axis.