Abstract: The invention relates to a method for the additive manufacture of three-dimensional metallic components (12), these components (12) being built layer-by-layer or section-by-section under vacuum conditions using a laser (20), by fusing a metal powder with the component (12). In order to reduce production of surplus metal powder during machining, it is suggested that the metal powder is fed to and mixed with a gas stream, said gas stream being fed to the region of a machining point of the laser (20) on the surface of said component.