In a device for fabricating axially symmetric aspherics in which a workspindle for rotating a workpiece about a first axis is swung within a predetermined angle about a second axis orthogonal to the first axis and a grinding wheel for grinding the workpiece is displaced by a predetermined amount in a direction orthogonal to the second axis, there is provided means for continuously detecting the angle of swing about the second axis of the workspindle, drive means for displacing the grinding wheel, means for continuously measuring the grinding position of the grinding wheel, and means for pre-memorizing, in accordance with the angle of swing, a predetermined position of each point on the predetermined aspherics to be ground and for controlling the drive means so that the grinding position measured by the measuring means is equal to the memorized predetermined position.
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