Take the brass wall hanging off the wall if possible.
Mix 1 teaspoon mild liquid dish soap in 1 cup lukewarm water.
Dip a clean cloth into the soapy solution and rub it over the surface of the brass wall hanging to remove as much of the dirt, debris and grime as possible.
Gently brush the brass wall hanging with a soft-bristled toothbrush to remove dirt from the creases and crevices.
Rinse the wall hanging under clear water if possible. Alternatively, run a clean, damp cloth over the brass pieces to remove the dish soap residue. Dry the wall hanging completely with a clean and dry cloth.
Put brass polish on the edge of a cloth and gently rub it into the piece of brass until there is a thin film of polish covering the entire item.
Buff the brass with a clean, soft cloth. Rub the item in circular motions until it is shiny.