A method wherein the possible abnormal noisiness and vibrations of a rolling bearing for a wheel hub unit are detected by fixing a first one of the inner and outer rings of the bearing integral on a support provided with a first and a second accelerometer so that the first and second accelerometers have respective measurement axes (X, Y) arranged at a right angle relative to each other on a plane perpendicular to the axis of symmetry (A) of the bearing. A second ring of the bearing is angularly coupled with means for rotating it at a predetermined speed, calculated beforehand based on operating parameters of the bearing; processing means detect in a predetermined time interval a first and a second electric signal (T1, T2) emitted by the first and second accelerometers and, through a frequency analysis, obtain a frequency spectrum (P) of the amplitude of any vibrations detected.