Aiming at NC machining for surface similar to revolution body with high feed rate, a tool path planning method with toroid cutter under helix driving mode is proposed. Firstly, a helical line is constructed as the guide curve of the surface. Secondly, the initial cutter contact(CC) point corresponding with the subsquent guide point is estimated based on the tangential direction of the CC point locus known on the surface, and the center of the toroid cutter at the initial CC point is calculated. Thirdly, the...