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Operation such as offset, bisector and Medial Axis(MA) construction on NURBS surface is an important issue in the CAD/CAM application. One of the most difficulty problems in the computation of offset curve, offset MA and bisector construction is a directly subsequent removal of self-intersection loop. Many literatures have been reported by different technology such as geometry, snake and so on. But they are complex and not efficient. We put forward to a new approach to NURBS surface operation using the graphics hardware Based on GPU. By the offset data (offset surface) on boundary curve on the NURBS surface, the detection and removal of self-intersection are achieved through a GPU program process using the graphics hardware. This new approach technology has been used in our boundary conformed and spiral toolpath generation program.