(57) A prefabricated multi-storied building is described, which if desired may be disassembled, with recovery of the components up to over 90%, which may be stowed with minimum space-requirements and then re-assembled within a much reduced time, and which due to the above and other characteristics is particularly suitable to solve emergency building problems. The building is of the framework construction type, constituted by metallic modules (P-TP-TS) of standard dimensions, which are repeated spatially with either square or rectangular grid-formations or meshes. The frames constituting the structural assembly of the building result from the assembling, by means of bolted type connections, of pillar modules (P) and of primary beams (TP) and secondary beams (TS) which are repeated horizontally and vertically and which constitute the main framework of said building.