A process is provided for producing a three-dimensional object having the steps forming the object (3) in a container (1, 200) arranged within a process chamber (100) on a carrier (4) which can be displaced in the container by sequential selective solidification of layers of a pulverulent material (11) which can be solidified by the action of electromagnetic or particle radiation at positions corresponding to the cross-section of the object in the particular layer, characterized by the step of controlled removal of non-solidified pulverulent material (11) after completing the object (3).