the device for sharpening a cutting blade presenting a sharp edge includes at least one grinding wheel provided at least on the surface with abrasive material . the grinding wheel has a cylindrical body presenting a v - sectioned peripheral groove , and is mounted to rotate freely about an axis contained in a plane generally parallel to the sharp edge of the blade and perpendicular to the median plane of the blade , with the axis being inclined by a predetermined angle with respect to the normal to the median plane of the blade . the sharpening device is further constructed to place the blade and the grinding wheel in contact and to provide for relative displacement of the blade and the grinding wheel in a direction parallel to the sharp edge of the blade .