Apparatus (1) for additively manufacturing of three-dimensional objects (2) by means of successive layerwise selective consolidation of layers of a build material, comprising a build material removal device (3) with at least one build material removal unit (4) adapted to remove non-consolidated build material (5) surrounding an additively built object (2), wherein the build material removal device (3) comprises a build material removal chamber (6) delimiting a build material removal volume (7), wherein the build material removal chamber (6) is arranged or arrangeable above the object (2), wherein the object (2) is successively moveable into the build material removal chamber (6), wherein the at least one build material removal unit (4) is adapted to remove non-consolidated build material (5).