A fluid dynamic bearing system having at least one stationary part and one rotating part that form a bearing gap filled with bearing fluid between the opposing bearing surfaces, at least one end of the bearing gap being open and sealed against the environment by a sealing means, pumping grooves being provided on at least two spatially separated bearing surfaces to generate hydrodynamic pressure and at least one supply volume connected to the bearing gap being available for the bearing fluid. The distinctive feature of the invention is that the sealing means are formed by pumping grooves that are disposed at the open and of the bearing gap on at least one of the bearing parts and designed in such away that they generate a pumping action on the bearing fluid directed towards the interior of the bearing and, as a result, create a dynamic seal for the open end of the bearing. The bearing system itself is designed as a compact unit preferably consisting of only three parts.