Abstract: A rolling contact bearing includes an inner race (1), an outer race (2) accommodating therein the inner race (1), and a plurality of rolling elements (4) interposed between the inner and outer races (1, 2). An insulating covering (8) made of an elastic material having an electric insulating property is mounted around the outer race (2). This insulating covering (8) includes a cylindrical body (8a) and collars (8b) extending radially inwardly from opposite ends of the cylindrical body (8a). This cylindrical body (8a) in a natural condition has an inner diameter smaller than an outer diameter of the outer race (2), but in an assembled condition with the insulating covering (8) placed around the outer race (2) against its own elasticity, the cylindrical body (8a) is held in tight contact with an outer peripheral surface (2a) of the outer race (2) and the collars (8b) are held in tight contact with respective opposite end faces (2b) of the outer race (2).