In this paper, a new desktop orthogonal-type robot, which has abilities of compliant motion and stick-slip motion, is presented for lapping small metallic molds with curved surface. The robot consists of three single-axis devices with a high position resolution of 1 μm. A thin wood stick tool is attached to the tip of the z-axis. The tool tip has a small ball-end shape. In order to improve the lapping performance, a small stick-slip motion control is considered in the control system. The small stick-slip motion is orthogonally generated to the direction of the tool's moving direction. The effectiveness of the stick-slip motion control is examined through an actual lapping test of an LED lens mold with a diameter of 4 mm.