A support ring (1) for rolling bearings (11), especially for rolling bearings applied to rotors with very high rotation speed, such as rotors of rotary vacuum pumps, the ring comprising a pair of concentric cylindrical shells (3, 5) connected together by a plurality of oblique radial plates (9), at least one of said shells (3, 5) being circumferentially broken so as to define a plurality of shoes (7), each shoe being connected to at least one of the radial plates (9) in such a manner as to define shoe portions or arcs (A.sub.1, A.sub.2) of different length, wherein the plates (9) are resilient and allow for the radial displacement of the shoes (7) so as to restrain vibrations of the rotating portion.