Abstract: Here presented is a new approach to parametric design for graph\|basis\|based product modeling. The concept and definition of graph\|basis and skeleton are described. The classes of graph\|basis and their proposition are discussed. A series of graph\|basis construct operators, an information model, and an algorithm which is based on the graph\|basis self\|organization are proposed. A method is also proposed, which can turn the dimension constraints between two different graph\|basis inner elements into one of the graph\|basis inner elements dimension constraints. On this basis, a parametric design algorithm is obtained. By using this approach, the product can be designed effectively.