Abstract: The present invention is directed at a method and an apparatus for finishing an orifice surface of a work piece consisting of a hard material such as ceramics or glass. The method removes surface anomalies on the orifice surface with a broach to produce a finished orifice. The broach tapers from a broad end down to a narrow end. The cross-section at the broad end is sized to fit snugly in the finished orifice. The method involves inserting the narrow end of the broach through an orifice of the work piece, and passing the broach through the orifice. In this way, the broach files and thereby removes the surface anomalies to conform the orifice to the finished orifice.