Abstract: An aerostatic bearing for the shaft of a spinning turbine of an open end spinning unit. The shaft is located in a cylindrically hollow housing to which gas under pressure is supplied to form a radial aerostatic bearing about the shaft. A permeable supporting sleeve is preferably interposed between the housing and the shaft. The shaft is provided with a radial duct and an axial bore opening only toward the rear end of the shaft. A supporting surface is fixed opposite the rear end of the shaft and is spaced therefrom so that the exhausting gaseous media impinges thereon and forms an axial bearing. Preferably, means are provided for resiliently biasing the shaft toward the supporting surface against the action of the axial aerostatic bearing. Such means are preferably magnetic.