A method for producing a three-dimensional object (2) by applying layers of a pulverulent construction material (11) and by selectively solidifying said material by the action of energy comprises the steps: a layer of the pulverulent construction material (11) is applied to a support (6) or to a layer of the construction material that has been previously applied and at least selectively solidified; an energy beam (14) from an energy source (13) sweeps over points on the applied layer corresponding to a cross-section of the object (2) to be produced in order to selectively solidify the pulverulent construction material (11); and a gas flow (18) is guided in a main flow direction (RG) over the applied layer during the sweep of the energy beam (14). The main flow direction (RG) of the gas flow (G) and the sweep direction (RL) of the energy beam (14) are adapted to one another at least in one region of the cross-section to be solidified.