Abstract: An interconnection of a structure comprising a modular assembly and a substructure supporting it. The assembly consisting of several stories is composed of a plurality of self-supporting modules, each having the form of a rectangular tube. Modules are assembled in a "stack-bond" fashion, overlapping one another on adjacent sides fully, or partially.The vertical interconnection of the structure is secured typically by rods threaded at bottom, at top provided with a nut head or expanded into the form of a cap adapted to receive the bottom of the rod. Rods are connected to the substructure by means of pegs of which the shape is similar to the rod cap. Pegs are attached to plates and such subassemblies are anchored in the substructure. Both rods and pegs are encased in pipes which are embedded in walls of modules. A fixture attached inside the pipe at its top, provides a seat for the rod cap and also serves for the attachment of bolts of the lifting device.