The invention relates to a rotary-table press with non-rotating shafts to which removable punches are fixed. The aim of the invention is to create such a rotary-table press which has non-rotating shafts and at the same time ensures universal rotation of the punches, i.e. rotation of both rotationally symmetrical and roll-guided punches. To this end the invention provides for the removable punch (6, 7) to be able to rotate by virtue of a peripheral groove (27, 30) embodied in the journal (8, 9) of the punch (6, 7). A component engages said groove in the manner of an elastic pressure plate (4) for fixing the punch. The lateral outer surface of the removable punch (6, 7) presents an area which cooperates with an area of an external component by force-fit or form-fit in such a way that said punch (6, 7) undergoes a rotating movement at a defined point in the pitch circle it describes.