A method and an apparatus to provide a building structure (100) in conglomerate material. The method provides a step of modelling by CAD the structure and of generating cross-sections comprising solid areas and empty areas corresponding to solid parts and empty parts of the structure (10) in the cross-sections. The method provides then moulding the structure (10) by prearranging a printing area (70) and a material mobile depositing unit (200) that covers horizontally the printing area and moves according to a prefixed vertical pitch. The mobile depositing unit (200) deposits a first uniform horizontal layer of granular material thick as the pitch and spreads binding agent only on the solid areas of the first layer of granular material. Then, a further step is provided of distributing a second layer of granular material and a step of pressing the granular material with rollers (300).; Such steps are then repeated up to completion of the last layer of the structure (100). Then, the granular unbound material is removed. In particular, the step of pressing with rollers (300) provides a pressure intensity comprised in a predetermined range that causes the pressing step not only to make level and regular the surface of deposited material, but provides a variable pressure energy, which is transmitted to the layer located underneath. In particular, the layer located underneath not yet hardened, in the zones where the liquid component was spread, contains a mixture of granular material, of the solid component of the binding agent and of the liquid component of the binding agent.; This energy allows the mixture to be compressed and then released giving rise to an elementary "moulding step", supplying to the mixture a "reticulation energy" that assists the production of the crystal lattice of the two-part binding agent and of the conglomerate granular material. This way, the final solid composite material is very compact and homogeneous with subsequent good structural resistance.
