A multi veneer anchor structural assembly for interconnection between the inner wythe and the outer wythe of an edifice. The assembly includes a pair of base members mounted in spanning relationship with at least vertical channels which form the frame of an edifice. A vertical plate is connected between the base members and has formed thereon a plurality of outwardly projecting vertical members each of which is engagable with a wall tie; with the wall ties being connected to an outer wythe. The assembly forms part of a drywall construction system which includes an insulating strip disposed between adjacent ones of the vertical plates, thereby providing a complete insulating layer for the edifice. In an alternate embodiment, the vertical plate is fabricated with a plurality of locally deformed areas which results in a high degree of stiffness of the veneer anchor structural assembly.