A wall-mounted elbow duct and particularly to a wall-mounted elbow duct to connect a wall-mounted water discharge pipe to a hand-held shower head mainly includes an elbow duct which houses a reverse checking mechanism and a coupler and a coupling cap. By means of the invention the hand-held shower head can be connected to the wall-mounted water discharge pipe without a great number of elements. An ornamental cover also is formed to conceal the connecting portion of the water discharge pipe to enhance aesthetic appeal.