A device for positioning of an actuator (1), comprising a rotational stationary part (3), which is in engagement with the actuator (1) for linear displacement of the latter when rotating the rotaional part (3). According to the invention the rotational part (3) constitutes the output part of a motor (8), known per se, having a toothed rotor (9) with a different number of teeth than the stor (10), and means for bringing the teeth of the stator (10) into driving engagement with the teeth of the rotor (9) for rotating the rotor (9) in a manner known per se for displacement of the actuator (1) for precision positioning thereof. Moreover, a rotational element (12) is either connected or connectable to the rotor (9) for quick rotation of the latter for coarse positioning of the actuator (1) when the teeth of the stator (10) are out of mesh with the teeth of the rotor (9).