A rolling bearing device includes inner races, outer races, rolling elements, a retainer, and an inner race spacer. The inner race spacer is formed of an oil reservoir member made of a sintered metal impregnated with lubricating oil, and a spacer cover fitted onto an outer periphery of the oil reservoir member. Through a centrifugal force to be applied to the oil reservoir member at the time of bearing rotation, the lubricating oil is scattered radially outward through a chamfered portion of the oil reservoir member via an oil supply passage, to thereby lubricate the interior of the bearing with oil.