Abstract: An apparatus for flanging an edge of a can body includes a flanging tool which has an inner tool part having an outer circumferential flanging face for engaging an inner surface of a circumferential edge zone of the can body; an outer tool part surrounding the inner tool part and having an inner circumferential abutment face surrounding the flanging face for abutting a periphery of the can body edge during flanging of the can body edge by the flanging face; an axially hollow, non-rotatable spindle to which the outer tool part is affixed and which has a first axis; a rotary shaft received in the spindle and having a second axis coinciding with the first axis; and a shaft stub affixed to and extending from the shaft. The inner tool part is rotatably mounted on the shaft stub which has a central, third axis disposed at an inclination to the second axis.