The invention relates to a device for the manufacture or repair of a three-dimensional object, comprising at least one construction chamber for a successive solidification of at least one solidifiable material layer by layer in predefined regions for layer-by-layer buildup of the three-dimensional object or for layer-by-layer repair of individual regions of the three-dimensional object inside of the construction chamber, at least one coater that can travel for deposition of the material on at least one buildup and joining zone of a construction platform formed in the construction chamber, at least one inflow nozzle and at least one suction outlet nozzle for a process gas, with the inflow nozzle and the outlet nozzle being arranged in such a way that a gas flow that passes at least partially above the buildup and joining zone is created, and at least one overflow tank.