(57) Described harm is a mirror finish polisher, including: a tool base to be attached to the fore end of a spindle and constituted by a disk-like front plate and a rear plate forming liquid pools along the outer periphery of the front plate; a polishing liquid supply opening formed at the center of the rear plate around a spiindie; a liquid supply tube opened into the liquid supply opening a multitude of liquid outlet holes formed in the front plate along and slightly inward of the outer peripheny thereof and a liquid permable visco-elatiic polishing member atteched to the front plate, the visco-elastic polishing member retaining abrasive grains thereon and heing deformable in conformity with the profile of a work surface. The polishing liquid is temperarily stored in the liquid pool in the tool base through the liquid feed tube and continuously distributed into the visco-elastic polishing member by the action of centrifugal force resulting from rotation of the tool.