Abstract: A method of construction which produces an air tight structure which is capable of being insulated to high R values. The method comprises the following steps: erecting an inner wall having a footer, a top plate, and spaced upright studs, along an inner edge portion of the supporting structure; covering the exterior side portion of the inner wall with a vapor barrier so that electrical wiring and plumbing may be run within the interior wall without penetrating the vapor barrier; erecting an outer wall having a footer, a top plate, and spaced upright studs along an outer edge portion of the supporting structure parallel to and spaced from the inner wall, said outer wall used to carry an exterior building wall covering after insulation which is positioned between the walls and between the studs of the outer wall; and, erecting a supported structure on top of the top side portion of the walls.