Abstract: In the research of extension innovation design, many innovative design elements can be formalized by multi-dimensional complex-elements, and many of them belong to heterogeneous multi-dimensional compound-elements (HMdCes) , and there are various complex relationships among them. At present, there is a lack of research on the conductive rules among these HMdCes. Based on the conductive rules of basic-element transformations, the conductive rules among HMdCes without basic-elements’ operations internally and HMdCes with multiple basic-elements or basic-element’ operations internally are established, which can provide more reasoning basis for the ideas generation of extension innovative design. Taking the design for the function and structure of ZDY series reducer as an example, the conductive rules among HMdCes established in this research are used to verify the universality and effectiveness of the rules.