Abstract: A polishing machine comprising: a rotary abrasive tool having a circular working face which comprises a mass of super abrasive grains, the face driveable by a motor to rotate about an axis, several arbors which, each, have an inversed cup-shaped work holder, detachably mounted at a lower end thereof and a minor gear in an upper portion and which are supported by a stage in a position perpendicular to said working face, the work holders being arranged in such relation that the open end of each of the work holders is opposite, at least partly, to the working face, the minor gears being engaged slidably along- and with a major gear which in turn is driven by a second motor, each arbor being engaged with a pressing device capable of pressing the work to keep in good contact with the tool working face, and a framework on which the abrasive tool and motor, as well as the stage are mounted.