An apparatus (1) for additive manufacturing of three-dimensional objects (2) by successive, selective layer-by-layer exposure and thus successive, selective layer-by-layer solidification of construction material layers of construction material (3) that can be solidified by means of an energy beam, comprising a pipe structure (12), and a filter device (7) that is connected to the pipe structure (12), provided for filtering the process gas (9), wherein the filter device (7) comprises several filter modules (14) that can be or are arranged exchangeably connected to the pipe structure (12).