Determine where the art will be hung on the stucco. Make a small mark on the stucco where supports for the art need to be placed.
Use the drill and drill bit to make a small hole in the stucco where the supports for the art should go. Clean out the hole to limit the amount of cement dust inside.
Insert a small amount of acrylic epoxy into each drilled hole. Push the anchors into the holes and allow the epoxy to set.
Use steel screws to hang the art on the stucco wall. Steel screws provide additional support to the art and are more heavy-duty than the screws that generally come with anchors or picture hanging kits.