A roller mill for grinding particulate material, such as cement raw materials, cement clinker and similar materials has a rotatable grinding table with a substantially vertical centerline and a number of rollers being configured for interactive operation with the grinding table and turning about separate roller shafts which are fixed to a rotatable center shaft with a substantially vertical centerline. The center shaft and the grinding table are fixed one to the rotor and the other to the stator of the same motor, which may have the capability of rotating both the grinding table and the center shaft.