The invention relates to a device (1) for the additive manufacturing of three-dimensional objects (2) from a powdery construction material (3) by introducing radiation energy, in particular a laser sintering and/or laser melting device. The device includes at least one housing (4) having a process chamber (5), in which process chamber a construction space or an exchangeable container (6) having a vertically movable construction platform is arranged, to which construction platform the powdery construction material (3) provided for solidification by means of radiation energy can be applied. The device is characterized by a memory chip (16), which can be removed from the process chamber (5) of the device (1) with the exchangeable container (6) and/or the constructed object (2) and which can be read out by means of an electronic reading device, and production data which belong to the additive manufacturing process, and/or subsequent processing steps and/or processing stations for automatically controlling processing apparatuses (7-11) and/or transport paths (12) and/or storage positions (8), and/or data from controlling active elements of the exchangeable container itself are stored on the memory chip.