Assembly and method for machining an object with a milling machine. The object needing machining on various sides so as to require clamping. It is proposed to mechanize this time-consuming operation. To this end a further clamp is attached to a conversion or turning station which may clamp the already partially machined object with an already partially machined side thereof. The mutual positioning of the clamp in which the object is located and the clamp wherein the object is transferred, is precisely defined and by the linear movement of the clamps in relation to each other, the object may be transferred. The additional clamp is configured to receive the object to be machined in precisely the desired position, without damage. Subsequently, a further clamp is again put into the milling machine with the aid of a robot so that other sides of the object can be further subjected to a milling operation.