Abstract: The present invention relates to the automatic construction of buildings or other heavy constructions by a method and a device suitable for reducing the construction time and for assisting its relative operations. This method comprises the steps of CAD-modelling a structure through volume or surface modelling steps, sectioning the structure computed model with horizontal parallel planes according to a predetermined pitch, prearranging an apparatus that deposits in alternation a layer of granular material and a liquid binder only in coincidence with the solid portions of said plane, within containing walls that define a closed perimeter. This method can be carried out by an apparatus having a horizontal frame (1) suitable for supporting a bridge crane (15) capable of causing and operating head to move (16) in a horizontal plane defined by said horizontal frame (1).