An additive layer manufacturing method is disclosed for producing a three-dimensional object and a corresponding object. Layers of powder material are applied to a carrier and each layer is irradiated with a laser beam or a particle beam only in areas of the layer corresponding to the three-dimensional object to be produced. Irradiation occurs so the powder material in the corresponding areas is locally melted or sintered. An elongate portion of the object is constructed so longitudinal channels extend at an angle of more than 45° to the direction of the force of gravity, and along its entire length the longitudinal channels are formed so that in cross section perpendicular to the direction of extension of the elongate portion the minimum distance to the outer surface of the elongate portion is not smaller than the minimum distance to the closest neighbouring longitudinal channel or the closest neighbouring longitudinal channels.