The wall plate has a fibre concrete plate of slight wall thickness connected eg stuck by spacers of fibre concrete at previously determined intervals to the thickest possible hard foam plate capable of diffusion. After assembly and further building work the cavities between fibre concrete plate and hard foam plate are cast with fibre concrete. The static of the building wall is determined by the fibre concrete plate and the filled cavities extending over several wall plates between concrete plate and hard foam plate. The heat damming value to be achieved is determined by the thickness of the hard foam plate. The hard foam plate is suitable for any type of exterior cladding or decoration.