The concept of deformation mapping and deformation origin is described. A new approach for directing and solving constraint graph is presented, which is deformation mapping based and two-dimension engineering drawing oriented. A directive method for constraint graph, which is based on deformation mapping, is also proposed. Finally, a new approach for solving the deformation constraint graph is given, which is based on compound node and virtual constraint. With this method, the reliability to direct the constraint graph is increased, the computation complexity is reduced, and the cyclic constraint graph can be solved expediently.