A drip edge device is disclosed for use with the drainage system of a cavity wall structure. The drip edge device is disposed in the outer wythe, above the shelf angle or lintel, of a cavity wall structure extending the flashing and directing water and water vapor collected within the cavity wall to the weep holes and beyond the exterior surface of the outer wythe. The drip edge further allows for cavity wall ventilation. Removal of the water and the water vapor inhibits staining and material degradation. The drip edge device is a molded polymeric which withstands adverse environmental elements, including ultraviolet radiation. The drip edge device includes a peel-and-stick hot melt adhesive which, upon pressure activation, creates a durable bond with the rough surface of the masonry block or the flashing material. Optionally, a foam layer is placed on the lower surface of the drip edge.