In order to accommodate the increasing variety of costumers’ demands, manufacturers tend to produce different models of the same product by introducing variant design concepts that improve the flexibility of design systems. In this paper, an approach based on constraint satisfaction priority is proposed to solve the dimension parameter transferring problem. Firstly, product variant parameters and variant relations are analyzed. Secondly, dimension constraint relation network model is conceived and parameters constraint forms is discussed. Finally, a parameters transfer method based on constraint satisfaction priority is established.