Abstract: A method for polishing articles comprising soft acrylic materials is disclosed. The method includes a polishing step and a cleaning step. In the polishing step, a receptacle is charged with polishing beads of various sizes, alumina, a swelling agent and the articles to be polished, and agitated for a period of time and at a speed sufficient to remove surface irregularities. Following the polishing step, the polished articles are cleaned by agitating them with a cleaning slurry comprising cleaning beads of various sizes, alumina, a solvent and a surfactant for a period of time and at a speed sufficient to clean the surface of the polished articles. Agitation is preferably accomplished by a tumbling machine.