A clutch driving device includes a pair of first and second roller wing arms horizontally moving to both sides by moving body moving forward/backward on an axial center line of an actuator and a roller inclined cam surface defining a move path of a pivot is formed such that first and second roller wing arms horizontally move to both sides from the axial center line of actuator, on the surface of a lever generating a stroke at a release bearing. Therefore, the lever can be lifted above a clutch engagement gap where a sufficient stroke is generated at the release bearing engaging a clutch, such that it is possible to achieve sufficient performance even if the output of actuator is reduced by the amount of energy consumption which is relative reduced.