The application relates to a system (1) for producing an object by means of additive manufacturing. The system has an apparatus (19), comprising a storage container (61) for storing powdered material that can be solidified, and a process chamber (3) fluidly connected to the storage container and arranged for receiving at least a part of the powdered material for forming a bath of material (4) within the process chamber. Furthermore, a structure is provided for positioning the object in relation to the surface level of the bath of material. The apparatus also comprises a solidifying device (7) for solidifying a layer of the bath of material. A supply device (8) is provided, having a supply container (18) for storing a supply of powdered material that can be solidified, wherein the supply device is fluidly connected, or at least connectable, to the storage container, and wherein the apparatus is arranged for transferring powdered material between the supply container and the storage container.