A veneer tie for use in a wall to join an inner wall member and an outer wall member of the wall. The outer wall member is formed from a plurality of successive courses of masonry units with a mortar-filled bed joint between each two adjacent courses. The veneer tie includes an insertion portion configured for disposition in the bed joint and an attachment portion. The attachment portion includes an adjustment element and a securing element. The securing element defines a first opening that receives a fastener to secure the attachment portion to the inner wall member. The adjustment element is secured to the insertion portion and is movable relative to the securing element in order to move the insertion portion relative to the outer wall member to position the insertion portion in the bed joint.