Abstract: A veneer wall consisting of a plurality of masonry units held together by conventional vertical and horizontal mortar joints. A plurality of straight horizontal tie members with opposite ends and a center portion have one end thereof embedded in one of the mortar joints to cause the tie members to extend horizontally outwardly with respect to the veneer wall. Insulation panels having inner and outer sides extend in spaced parallel relation to the veneer wall with the panels being secured to the outer ends of the tie members. A solid poured-in-place concrete wall fills the space between the insulation panels and the veneer wall and embed the tie members. A rigid stud wall of conventional constructions is imposed on the outer side of the insulation panel.