Vessel having at least one hull, which vessel is provided with a stabilization system, wherein the stabilization system includes a plurality of independent of each other separate tanks (11a-d) arranged interior in the vessel to provide buoyancy and/or ballast for the vessel, which separate tanks (11a-d) are provided with openings (12a-d) in the bottom thereof extending through openings in the hull so that the openings (12a-d) are facing the medium the vessel is floating in, wherein: - the separate tanks (11a-d) are extending from the openings (12a-d) in the hull of the vessel, and the separate tanks (11a-d) are arranged in such a way that they exhibit a sufficient height above a fluid level the vessel is floating in, as the vessel is floating in normal conditions without any loads, to provide a controllable fluid volume for counteracting external forces affecting vertical movements of the vessel in roll, pitch or draught, or a combination of these, - the stabilization system further including at least one vacuum/pressure compressor (13a-d) arranged at an upper part of each of the separate tanks (11a-d) for controlling fluid volume in the associated tank (11a-d) by supplying or removing fluid to and from the separate tanks (11a-d) by controlling pressure over the fluid surface in the associated tank (11a-d), and - the stabilization system further including a control system provided with software/algorithms and/or programmed for controlling the vacuum/pressure compressors (13a-d) for controlling fluid volume in the separate tanks (11a-d) by lowering the pressure on the fluid surface in the associated tank (11a-d) to a pressure being lower than atmospheric pressure at sea level to provide vacuum to elevate fluid level for providing the vessel with load for compensating for external forces affecting the vertical movements of the vessel in roll, pitch or draught, or a combination of these, or increasing the pressure on the fluid surface in the associated tank (11a-d) to a pressure higher than atmospheric pressure at sea level on the fluid surface to lower fluid level in the separate tanks (11a-d) to provide the vessel with buoyancy for compensating for external forces affecting the vertical movements of the vessel in roll, pitch or draught, or a combination of these, where fluid level and thus fluid volume in the associated tank (11a-d) corresponds to the pressure in the vacuum/pressure compressor (13a-d). - the separate tanks (11a-d) are extending from the openings (12a-d) in the hull of the vessel, and the separate tanks (11a-d) are arranged in such a way that they exhibit a sufficient height above a fluid level the vessel is floating in, as the vessel is floating in normal conditions without any loads, to provide a controllable fluid volume for counteracting external forces affecting vertical movements of the vessel in roll, pitch or draught, or a combination of these, - the stabilization system further including at least one vacuum/pressure compressor (13a-d) arranged at an upper part of each of the separate tanks (11a-d) for controlling fluid volume in the associated tank (11a-d) by supplying or removing fluid to and from the separate tanks (11a-d) by controlling pressure over the fluid surface in the associated tank (11a-d), and - the stabilization system further including a control system provided with software/algorithms and/or programmed for controlling the vacuum/pressure compressors (13a-d) for controlling fluid volume in the separate tanks (11a-d) by lowering the pressure on the fluid surface in the associated tank (11a-d) to a pressure being lower than atmospheric pressure at sea level to provide vacuum to elevate fluid level for providing the vessel with load for compensating for external forces affecting the vertical movements of the vessel in roll, pitch or draught, or a combination of these, or increasing the pressure on the fluid surface in the associated tank (11a-d) to a pressure higher than atmospheric pressure at sea level on the fluid surface to lower fluid level in the separate tanks (11a-d) to provide the vessel with buoyancy for compensating for external forces affecting the vertical movements of the vessel in roll, pitch or draught, or a combination of these, where fluid level and thus fluid volume in the associated tank (11a-d) corresponds to the pressure in the vacuum/pressure compressor (13a-d).