A tip shaping apparatus presses electrode tips against a shaping roller thereof held by a rotationally driven holder in such a manner as to bring tip sections of the tips close to each other, thereby shaping the tip sections into reusable condition. The tip shaping apparatus includes deburring sections located in such positions as to confront burrs that are formed during shaping in such a manner as to project from outer circumferences of root sections proximate the tip sections of the electrode tips in a direction perpendicular to the axes of the electrode tips, at ejection of the electrode tips from the apparatus. Each of the deburring sections is located proximate an outer circumferential plane of the root section of each of the electrode tips undergoing shaping so as to abut against and cut off or bend the burrs in such a manner as to suppress the projecting height of the burrs when the electrode tips are ejected from the tip shaping apparatus.