A method, in the field of the building, the construction of premises or walls the fronts of which are formed of horizontal planks stacked above each other, wherein: - first of all, two preformed metallic male mechanical elements (17, 18) having substantially the height of a front are placed vertically at each end of a horizontal rail serving as a base for the construction, - then, a first plank is inserted from the top with grooves (24, 25) inserted in bends (26, 27) of the two mechanical elements (17, 18), then the plank is slid down (arrow F) until it enters into contact with the horizontal rail, - afterwards the operation is repeated with a second plank, which will be placed on top of the first plank, and so on for all the planks that must form the front height through stacking, - one proceeds in the same way and successively for all the fronts or walls to be made, the planks of a front being assembled with the planks of a neighboring front through an assembly of the type formed: - on the one hand, of a construction having, in cross-section, at least one angle (β) of the edge extending perpendicularly to the plane of the cross-section, and having on each outer surface of the angle (β) a groove (2, 3, 24, 25, 30, 31) parallel to the edge, - on the other hand, a preformed male element the cross-section of which is open, said preformed male element having over its height and along each of its end borders a bend (8, 9, 26, 27, 32, 33), which is also preformed, and each inserted into a groove (2, 24, 30, 3, 25, 31) of the construction, said cross-section being shaped so as to direct said bends towards the grooves towards the outer surfaces of the angle (β), and the construction being obtained by the joining of two end-jointed elements and the ends to be joined of which are machined at least partially to form a bevel at an angle (β/2) and, on the other hand, the male element including two planar wings (4, 5) integral with each other and forming between them a predetermined angle (α) so as to form a sort of bracket, each wing having a predetermined height (h, H) and including on each end border a bend (8, 9), also preformed at 90°, directed towards the interior of the angle (α), the angle (α) being smaller than the angle (β). - first of all, two preformed metallic male mechanical elements (17, 18) having substantially the height of a front are placed vertically at each end of a horizontal rail serving as a base for the construction, - then, a first plank is inserted from the top with grooves (24, 25) inserted in bends (26, 27) of the two mechanical elements (17, 18), then the plank is slid down (arrow F) until it enters into contact with the horizontal rail, - afterwards the operation is repeated with a second plank, which will be placed on top of the first plank, and so on for all the planks that must form the front height through stacking, - one proceeds in the same way and successively for all the fronts or walls to be made, - on the one hand, of a construction having, in cross-section, at least one angle (β) of the edge extending perpendicularly to the plane of the cross-section, and having on each outer surface of the angle (β) a groove (2, 3, 24, 25, 30, 31) parallel to the edge, - on the other hand, a preformed male element the cross-section of which is open, said preformed male element having over its height and along each of its end borders a bend (8, 9, 26, 27, 32, 33), which is also preformed, and each inserted into a groove (2, 24, 30, 3, 25, 31) of the construction, said cross-section being shaped so as to direct said bends towards the grooves towards the outer surfaces of the angle (β),