Abstract: Resilient high-speed rotor support, especially applicable to rotor shafts open-end spinning machines. The support is made up of a double-row rolling bearing, a rotor shaft, and a central sleeve for the bearing, as well as resilient damping elements disposed at the ends of the central sleeve and fixed within the housing of the spinning mechanism. At the stepped ends of the central sleeve there are fixed resilient damping elements by means of their radially inner annular parts, the external circumference of the damping elements, reduced by the height of the limiting gap between them and the housing, extends to the circumference of marginal orifices within the housing. The bore at the rotor end of the central sleeve is formed with a tolerance to provide a running fit with the rotor hub. The support of the invention is applicable especially in spinning machines operating with rotor speeds exceeding 60,000 RPM.