Cylindrical Grinding Machine with Abrasion Wheel is used for the purpose of finishing work pieces that present high surface quality and high accuracy of shape and dimension. The Machine removes high volumes of metal and has a bed with a fixture to guide and hold the work-piece. The Machine has the feature that the grinding head can be controlled to travel across a fixed work piece or the work piece can be moved whilst the grind head stays in a fixed position. The Cylindrical Grinding Machine with Abrasion Wheel removes material from the work piece by abrasion that generates substantial amounts of heat and incorporates a coolant to cool the work piece so that it does not overheat.