Method for the additive production of a three-dimensional object (2) by selective exposure in successive layers and associated selective consolidation in successive layers of construction material layers composed of a construction material (3) that can be consolidated by means of an energy beam (4), wherein, as part of the additive production of the three-dimensional object (2) to be produced additively, a supporting structure (11) directly surrounding the three-dimensional object (2) produced or to be produced additively is formed by selective exposure in successive layers and associated selective pre-consolidation in successive layers of construction material layers composed of the construction material (3) that can be consolidated by means of the energy beam (4).