Aiming at improving efficiency and generality of non-constructible geometric constraints solving, a low dimension iteration method is presented in this paper. In the proposed approach, the coupled vertexes are broken to obtain a solving sequence only including basic geometric elements by canceling some constraints, while for under constrained vertexes, virtual parametric variables are added. The solution of non constructible geometric constraint system can be accomplished by virtual parametric variables iteration, rather than undertaking simultaneously numeric iteration. The proposed method de...