Abstract: A machine for machining workpieces includes a machine frame (110, 120), a honing ring carrier (60) which is mounted on the machine frame and in which a honing ring or a honing ring blank is clampable and rotationally drivable about its central axis, and a workpiece spindle module (50) having a workpiece spindle (54), wherein a workpiece which is to be machined with the honing ring clamped in the honing ring carrier (60) is mountable in the region of a free end of the workpiece spindle (54). The machine further includes a grinding module (130) for profiling a honing ring as a result of grinding a honing ring blank, wherein the grinding module (130) is arranged in such a manner on the machine frame (110, 120) that a grinding wheel of the grinding module (130) can be positioned relative to the honing ring carrier (60) inside a truly three-dimensional space. The profiling of a honing ring and the honing of a workpiece can consequently be effected in the same clamping setup of the honing ring.