An anchoring system for cavity walls is disclosed and includes a wall anchor and a high-strength partially compressed veneer tie. The anchor preserves the insulation integrity by sealing the insertion points in the inner wythe. The veneer tie utilizes ribbon cavity portions that are cold-worked and vertically compressed, with the resultant body having substantially semicircular edges and flat surfaces therebetween. The edges are aligned to receive compressive forces transmitted from the outer wythe. The veneer tie, when part of the anchoring system, interengages with the wall anchor and is dimensioned to preclude significant veneer tie movement, preclude pullout and shed moisture and mortar within the cavity.