Abstract: A fixture for converting a centerless grinder to a center grinder and the center grinder obtained thereby where such fixture comprises in combination a base member adapted for mounting on the support means of a centerless grinder, a headstock member slidably mounted on such base member having a first work center member and a tailstock member also slidably mounted on such base member disposed remotely from such headstock member and having a second work center member for supporting a work piece effectively through its central axis in co-operation with the first work center member of the headstock member. Employment of such fixture achieves high tolerance grinding for a cylindrical work piece about its true, dead center or central axis in high capacity, production operations.