A cylindrical roller bearing comprising: an inner ring including a raceway surface on an outer periphery thereof: an outer ring including a raceway surface on an inner periphery thereof; a plurality of cylindrical rollers rollably disposed between the raceway surface of the inner ring and the raceway surface of the outer ring; and a cage for circumferentially retaining the cylindrical rollers at predetermined intervals, wherein the cage includes a pair of annular portions which are separately placed in an axial direction and a plurality of cage bars which are placed at equal intervals along a circumferential direction of the annular portions to interconnect the annular portions, and the cylindrical roller is placed in a pocket surrounded by the adjacent cage bars and the pair of annular portions, wherein the cage is circumferentially provided with guide pieces on an outer periphery of the cage bars at predetermined intervals, the guide pieces projecting toward the raceway surface of the outer ring to make sliding contact with the raceway surface for guiding the rotation of the cage and for removing an excess lubricant on the raceway surface, characterized in that the cage bars are formed with a pair of tapered faces on an inside surface thereof, the pair of tapered faces being progressively increased in diameter substantially toward an axial center of the inside surface, and the guide pieces are formed with a through-hole extending from the substantial axial center where these tapered faces intersect with each other to an edge of the guide pieces for supplying the lubricant from the inner periphery side of the cage bars to the raceway surface, and formed at axially opposite ends of the guide pieces are tapered faces inclined from the outer periphery of the annular portions substantially toward an axially inward direction of the cage bars. an inner ring including a raceway surface on an outer periphery thereof: an outer ring including a raceway surface on an inner periphery thereof; a plurality of cylindrical rollers rollably disposed between the raceway surface of the inner ring and the raceway surface of the outer ring; and a cage for circumferentially retaining the cylindrical rollers at predetermined intervals, wherein the cage includes a pair of annular portions which are separately placed in an axial direction and a plurality of cage bars which are placed at equal intervals along a circumferential direction of the annular portions to interconnect the annular portions, and the cylindrical roller is placed in a pocket surrounded by the adjacent cage bars and the pair of annular portions, wherein the cage is circumferentially provided with guide pieces on an outer periphery of the cage bars at predetermined intervals, the guide pieces projecting toward the raceway surface of the outer ring to make sliding contact with the raceway surface for guiding the rotation of the cage and for removing an excess lubricant on the raceway surface, characterized in that the cage bars are formed with a pair of tapered faces on an inside surface thereof, the pair of tapered faces being progressively increased in diameter substantially toward an axial center of the inside surface, and the guide pieces are formed with a through-hole extending from the substantial axial center where these tapered faces intersect with each other to an edge of the guide pieces for supplying the lubricant from the inner periphery side of the cage bars to the raceway surface, and formed at axially opposite ends of the guide pieces are tapered faces inclined from the outer periphery of the annular portions substantially toward an axially inward direction of the cage bars. an outer ring including a raceway surface on an inner periphery thereof; a plurality of cylindrical rollers rollably disposed between the raceway surface of the inner ring and the raceway surface of the outer ring; and a cage for circumferentially retaining the cylindrical rollers at predetermined intervals, wherein the cage includes a pair of annular portions which are separately placed in an axial direction and a plurality of cage bars which are placed at equal intervals along a circumferential direction of the annular portions to interconnect the annular portions, and the cylindrical roller is placed in a pocket surrounded by the adjacent cage bars and the pair of annular portions, wherein the cage is circumferentially provided with guide pieces on an outer periphery of the cage bars at predetermined intervals, the guide pieces projecting toward the raceway surface of the outer ring to make sliding contact with the raceway surface for guiding the rotation of the cage and for removing an excess lubricant on the raceway surface, characterized in that the cage bars are formed with a pair of tapered faces on an inside surface thereof, the pair of tapered faces being progressively increased in diameter substantially toward an axial center of the inside surface, and the guide pieces are formed with a through-hole extending from the substantial axial center where these tapered faces intersect with each other to an edge of the guide pieces for supplying the lubricant from the inner periphery side of the cage bars to the raceway surface, and formed at axially opposite ends of the guide pieces are tapered faces inclined from the outer periphery of the annular portions substantially toward an axially inward direction of the cage bars.