A veneer anchoring system discloses a low-profile wall tie for use in a wall having an inner wythe and an outer facing wythe. The wythes are in a spaced apart relationship and form a cavity therebetween. A combination of a wall anchor and a low-profile wall tie member is provided. The veneer anchoring systems hereof incorporate low-profile wall ties adapted for use with a dry-wall inner wythe and for use with a masonry block inner wythe. The masonry anchor has a truss portion with eye wire extensions welded thereto. The eye wires extend into the cavity between the wythes. Each eye wires accommodates the threading thereonto of a wire wall tie through the open end of the wall tie. The wall tie is then positioned so that the open end is utilizable as part of the facing wall tie. The masonry anchor is embedded in a bed joint of the interior wythe. The facing wythe is anchored by mounting in bed joints of the exterior wythe the open end of the low-profile wire formative wall tie. The low-profile permits the mortar of the bed joint to flow over and about the insertion end of the wall tie and secure the tie to the outer wythe. Where the inner wythe is a dry wall construct, a dry wall anchor, which is a stamped metal unit, is attached by sheetmetal screws to the metal vertical channel members of the wall.