An apparatus for slicing a work includes: a blade member rotating device which rotates a blade member having an internal circular cutting edge; a radial moving device which produces a relative movement between the blade member and a work in a radial direction of the blade member to cut an end portion of the work; an axial moving device which produces a relative movement between the blade member and the work in an axial direction of the blade member; a displacement detector which detects an axial displacement of an inner portion of the rotating blade member; a rotational controller which controls the rotational speed of the blade member based on a detected axial displacement to reduce the axial displacement; and an axial movement controller which controls the axial relative movement between the blade member and the work based on the detected axial displacement so that an actual cutting position of the internal cutting edge with respect to the work is at a predetermined cutting reference position.