This machine for marking hollow parts comprises a marking member designed to be on contact in at least one line of tangency with a hollow part for it to be marked, and a first and a second mandrel capable of supporting respectively a first part to be marked and a second part previously marked. A control camera is placed at a focal length from the marked surface of the second part. The first mandrel is capable of moving the first part relative to the marking member and the movement of the second mandrel is slaved and identical to that of the first mandrel. The camera is capable of moving parallel to, and in synchronism with, the line of tangency between the marking member and the first part.