A cutting die device (1) according to the present disclosure is obtained from a cutting die body (2) and a cover (3). The cutting die body (2) is provided with punching blades (5) on the surface of a base plate (4). Regions outside the punching blades (5) are provided with blade-surrounding elastic members (6) with height dimensions of at least the protrusion height of the punching blades (5) from the base plate (4) surface to the cutting edges (5a). Regions between the punching blades (5) are provided with between-blade elastic members (7) with height dimensions smaller than the protrusion height of the punching blades (5) from the base plate (4) surface to the cutting edges (5a). A sheet-shaped workpiece (W) is set above the cutting die body (2). With the cover (3) disposed above same, the cover is pressed in the vertical direction to die-cut the sheet-shaped workpiece (W) using the punching blades (5) and form cut pieces (X) of the workpiece. When die-cutting the sheet-shaped workpiece (W) with the punching blades (5), positional shifting of the sheet-shaped workpiece (W) is prevented by facilitating entry of the sheet-shaped workpiece (W) between the punching blades (5) and contact of the workpiece with the cutting edges (5a).