Hold a wall hanging in position on the stucco wall. Mark the locations to put screws in the wall using the hanging attachments on the back of the wall hanging as guides.
Draw a line connecting the screw locations if you will use more than one screw. Place a carpenter’s level on the line to ensure that the wall hanging will hang straight. Adjust the marks for screw locations if necessary.
Attach a 3/16- or ¼-inch carbide drill bit to a variable-speed electric drill. The carbide dril bit's size depends on the size of concrete screw you will use; match the drill bit's size to the screw size.
Drill holes into the stucco at the points you marked to place screws. Drill 1/4 inch deeper than the length of the screws you will use.
Replace the electric drill's carbide drill bit with a Phillips head drill bit. Drive one concrete screw into each pre-drilled hole using the electric drill.
Position the wall hanging on the screws. Repeat the procedure for each wall hanging you want to attach to stucco.