A rolling mill having a work roll shifting function, comprising at least one rolling stand (14 to 16) including a pair of upper and lower work rolls (121 a, 121 b) and roll shifting means for shifting the work rolls (121a, 121b) in an axial direction thereof, the pair of upper and lower work rolls (121a, 121 b) each having, at one end of a roll body portion (131 a, 132a), a tapering portion (131b, 132b) having a roll diameter gradually decreasing toward a tip of the work roll (121 a, 121 b), wherein the pair of upper and lower work rolls (121 a, 121 b) are adapted to clamp a strip while having the tapering portions (131 b, 132b) located on opposite sides from each other in an axial direction thereof, characterized in that in the work rolls, at least surfaces of the roll body portions are formed to have 1200 HV or more in terms of Vickers hardness, and the roll shifting means include at the end face of each roll body portion and each tapering portion of each of the work rolls: a double-eccentric bearing (141a, 141b, 141c, 141d) with: a spindle supported to be rotatable about a vertical axis perpendicular to the axis of the work roll, an inner eccentric ring disposed outside the spindle in a diameter direction thereof and eccentrically coupled to the spindle, an outer eccentric ring disposed outside the inner eccentric ring in the diameter direction and supported rotatably and eccentrically to the spindle and the inner eccentric ring, and a bearing outer ring disposed outside the outer eccentric ring in the diameter direction, rotatably supported by the spindle through the inner eccentric ring and the outer eccentric ring, and being in contact with the end face of the corresponding roll body portion or tapering portion of the work roll; shifting oil-hydraulic cylinders (181, 182) configured to shift the bearing outer ring in the axial direction of the work roll by contracting or expanding in the axial direction of the work roll, thereby rotating the inner eccentric ring and the outer eccentric ring in opposite directions by the same rotation angle; wherein the double-eccentric bearings are supported by brackets (143a, 143b) such as to be rotatable about the vertical axis of the work roll and shiftable in the axial direction of the work roll. a double-eccentric bearing (141a, 141b, 141c, 141d) with: a spindle supported to be rotatable about a vertical axis perpendicular to the axis of the work roll, an inner eccentric ring disposed outside the spindle in a diameter direction thereof and eccentrically coupled to the spindle, an outer eccentric ring disposed outside the inner eccentric ring in the diameter direction and supported rotatably and eccentrically to the spindle and the inner eccentric ring, and a bearing outer ring disposed outside the outer eccentric ring in the diameter direction, rotatably supported by the spindle through the inner eccentric ring and the outer eccentric ring, and being in contact with the end face of the corresponding roll body portion or tapering portion of the work roll; a spindle supported to be rotatable about a vertical axis perpendicular to the axis of the work roll, an inner eccentric ring disposed outside the spindle in a diameter direction thereof and eccentrically coupled to the spindle, an outer eccentric ring disposed outside the inner eccentric ring in the diameter direction and supported rotatably and eccentrically to the spindle and the inner eccentric ring, and a bearing outer ring disposed outside the outer eccentric ring in the diameter direction, rotatably supported by the spindle through the inner eccentric ring and the outer eccentric ring, and being in contact with the end face of the corresponding roll body portion or tapering portion of the work roll; shifting oil-hydraulic cylinders (181, 182) configured to shift the bearing outer ring in the axial direction of the work roll by contracting or expanding in the axial direction of the work roll, thereby rotating the inner eccentric ring and the outer eccentric ring in opposite directions by the same rotation angle;