A bearing device includes an outer ring spacer and an inner ring spacer, which are interposed between outer rings of a plurality of axially juxtaposed rolling bearings and inner rings of such rolling bearings, respectively. The outer ring and the outer ring spacer are disposed within a housing while the inner ring and the inner ring spacer are mounted on a main shaft. A cooling structure including a nozzle is provided in the outer ring spacer for blowing a cooling fluid to an outer peripheral surface of the inner ring spacer to thereby supply the cooling fluid to the rolling bearing. The nozzle is provided with its discharge port side inclined forwardly with respect to the direction of rotation of the main shaft.