A torque control wrench for both a left-hand thread and a right-hand thread is disclosed. The torque control wrench includes a wrench unit having a transmission unit, a movable shaft engaged with the transmission unit, for rotating the transmission unit with external force, and a socket for receiving rotational force at a rotation speed changed by the transmission unit and tightening or loosening a bolt with the received rotational force, a handle for generating the rotational force with which the socket tightens or loosens the bolt, and a torque controller between the wrench unit and the handle, for controlling a torque applied from the handle to the socket, including a clutch for rotating along with rotation of the handle and thus rotating the movable shaft and, if a torque equal to or greater than a preset torque value is applied, rotating idly, and a clutch torque controller for controlling the torque applied from the handle to the clutch.