A method and apparatus for making a fixed abrasive grain wire includes, at first, inserting a wire through a sleeve that includes at least one aperture defined therein. Then, both of the wire and the sleeve are located in electroplating or electro-less plating liquid that includes abrasive grains blended therein. Finally, electroplating or electro-less plating is executed to fix some of the abrasive grains to the wire.