In order to minimize the total jump distance of tool path in the layered manufacturing, this research establishes a tool path representation and uses the approach to determine the traverse sequence and the start point of each curve. The developed algorithm can be divided into two types. The first type can determine the traverse sequence and the start point of each curve, and the second type can determine the start point of each curve given the traverse sequence. One example is used to show that the algorithms developed algorithm works well.