General expression of spiral is derived by turning any section profile into the end section profile, in terms of surface parameter equations based on the modeling principle in machining operations, and the body of spiral surface is divided into two parts, rotation part and spiral part, indicating the key point that the relative portion between the two parts is most important. “Revolution -Accumulation Method” is put forward with triangular patches being connected into a tiny slide. And the slides are rotated to some degrees and then superimposed together along the axis of the spiral, so as to construct final spiral surface. Two examples of modeling with Revolution- Accumulation Method, cylindrical spiral model and conic spiral model, the most widely used in engineering, are given and successfully executed.