A clutch actuator transmitting a disengaging force to a clutch disengaging device of a includes an actuating element which receives the disengaging force, and a piston rod for transmitting the disengaging force from the actuating element to the disengaging device. The piston rod bears against an actuating element connection region such that the piston rod is movable towards the connection region by the reaction force of the clutch. The positioning of the connection region and the piston rod relative to each other due to the movement can be fixed by applying the disengaging force to the actuating element. The actuating element at least partly deflects the disengaging force, producing a normal force and/or a radial force acting between the connection region and the piston rod. The normal force and/or the radial force fixes the position of the connection region and the piston rod relative to each other.