The present invention relates to a building construction (1) operating as a formwork for making transpirable walls and floors, and being characterized in that said building construction comprises a plurality of foamed plastics material transpirable panels (2,2'), therebetween are arranged perforated coupling elements ( 3 ) operating as spacer elements and adapted to join the panels with one another, while allowing air to pass therethrough, said panels including a plurality of cross notches (8) for engaging therein end portions of spacer elements coupling the panels (2 and 2' ).