A torque transmission apparatus includes a clutch housing and a clutch hub, a frictional multi-plate clutch for transmitting torque between the clutch housing and the clutch hub, a pressurizing member for bringing the frictional multi-plate clutch into engagement by producing a thrust, and a motor for generating a relative rotation between members by rotation of member of the pressurizing member. In the torque transmission apparatus, an accommodating recessed portion is provided in an outer wall of the clutch housing, wherein the pressurizing member disposed in the accommodating recessed portion, a penetrating portion which confronts the pressurizing member is provided in the outer wall, and a transmission member interposed between the pressurizing member and a flange portion of the clutch hub for transferring a thrust of the pressurizing member to the clutch hub is disposed in the penetrating portion so as to pass therethrough.