In supply chain management, supplier’s judgment and choice of the core enterprise has become key technology problem. Based on extension matter-element theory, the multilevel index judgment model of the supplier’s judgment and choice is established by extension analytic hierarchical process and the example shows that the method is feasible and valid. Firstly, the multi-layer judgment index structure of the supplier’s judgment and choice system is founded and the inconsistent dimension of all indexes is transformed to consistent one or dimensionless by the extension matter-element and their transform theory so as to set identical scale graduation. Then, the distinguish matrix of the multilevel extension section number is set and the weight vector of satisfying consistency condition of the index levels relative to the global goal level of is computed. Finally, the conclusion of the judgment and choice by judgment function is educed. The method not only expands two extremeness things of the traditional analytic hierarchical process so as to accord with factual condition entirely, but also the value range of the relation function enlarge to whole real number field so as to judge refinement and quantification.