A rolling bearing assembly comprising at least a pair of race rings having confronting spaced raceways and a plurality of rolling elements in the annular space between the race rings and elastically flexible damping means comprising an elastic damping element mounted in at least one recess in the annular portion of at least one of the rings defining the raceway, said damping element projecting slightly into the area of the raceway to frictionally engage the rolling elements and provide a predetermined resistance to rolling.