A device for the surface machining of workpieces of non-brittle materials in optical lens manufacturing, such as plastic spectacle lenses, the device having a work spindle, by means of which the workpiece can be driven to rotate with a controlled angle of rotation about an axis of work rotation, and a tool spindle, by means of which a tool can be driven to rotate about an axis of tool rotation, which encloses a predetermined angle with the axis of work rotation, the work spindle and the tool spindle being movable relative to one another with their positions controlled in two axes running at right angles;
- wherein for a rotational machining of the surface of the workpiece to be machined, the tool can be swiveled by means of the tool spindle with a controlled angle of rotation about the axis of tool rotation, so that a rotational cutting edge provided on the tool can be brought into a defined rotational machining engagement with the surface of the workpiece to be machined as a function of the angle of rotation of the workpiece.