The present invention relates to a method for smoothing a surface of a component, in which a component is placed in a liquid-solids mixture; a relative movement is produced between the liquid-solids mixture and the component; thus there is a flow of the liquid-solids mixture along the surface; wherein there is provided in the liquid-solids mixture a guide surface, along which the liquid-solids mixture flows, wherein a directional component toward the surface is imposed on the flow.