An automatically-guided vehicle provided with forks for moving a support structure of tiles, comprising: a vertical framework; a carriage which is vertically movable along the vertical framework; a first fork and a second fork which are borne by the carriage; a first sensor; a control unit which is connected to the first sensor; actuator means which are arranged so as to move the first fork and the second fork in order to correct the inclination of the first fork and the second fork with respect to the horizontal plane (xy); wherein the control unit is connected to the actuator means and is configured for commanding the actuator means as a function of the signal received from the first sensor; characterised in that: the first sensor is mounted on board the first fork or the second fork, for respectively detecting an inclination of the first fork or the second fork with respect to a horizontal plane (xy); the first fork and the second fork are rotatable with respect to the carriage and wherein the actuator means comprise a first actuator for rotating the first fork and the second fork with respect to the carriage; it comprises a frame, wherein the vertical framework is rotatable with respect to the frame and wherein the actuator means comprise a second actuator for rotating the vertical framework with respect to the frame. a vertical framework; a carriage which is vertically movable along the vertical framework; a first fork and a second fork which are borne by the carriage; a first sensor; a control unit which is connected to the first sensor; actuator means which are arranged so as to move the first fork and the second fork in order to correct the inclination of the first fork and the second fork with respect to the horizontal plane (xy); wherein the control unit is connected to the actuator means and is configured for commanding the actuator means as a function of the signal received from the first sensor; characterised in that: the first sensor is mounted on board the first fork or the second fork, for respectively detecting an inclination of the first fork or the second fork with respect to a horizontal plane (xy); the first fork and the second fork are rotatable with respect to the carriage and wherein the actuator means comprise a first actuator for rotating the first fork and the second fork with respect to the carriage; it comprises a frame, wherein the vertical framework is rotatable with respect to the frame and wherein the actuator means comprise a second actuator for rotating the vertical framework with respect to the frame. the first sensor is mounted on board the first fork or the second fork, for respectively detecting an inclination of the first fork or the second fork with respect to a horizontal plane (xy); the first fork and the second fork are rotatable with respect to the carriage and wherein the actuator means comprise a first actuator for rotating the first fork and the second fork with respect to the carriage; it comprises a frame, wherein the vertical framework is rotatable with respect to the frame and wherein the actuator means comprise a second actuator for rotating the vertical framework with respect to the frame.