The inventive stabilising device for the movements of a ship has adjustable stabilising fins, drive units (37) for adjusting the position of said stabilising fins, a control device (23 to 37) which produces the control signals corresponding to the desired positions of a particular stabilising fin and applies them to the relevant drive unit (37), and a measuring device which detects the rolling movements of a ship and produces the measuring signals corresponding to the rolling movements detected and applies them to the control device. In order to provide optimum stabilisation, the control device is configured in such a way that a roll angle and roll angular speed and/or roll angular acceleration can be detected separately or determined separately from measuring values. A control signal produced in the control device to compensate the rolling movement of a ship can be composed of a roll angle component and a roll angular speed component and/or a roll angular acceleration component and the parts of the control signal represented by the roll angle component and the roll angular speed component and/or the roll angular acceleration component and be freely predetermined.
