The importance of environment protection always raises a considerable among the researchers especially when pollutant and undesirable outputs are present. The non-parametric Data Envelopment Analysis (DEA) literature on network-structured performance analysis normally fail to express the undesirable intermediate production in the process. From the production efficiency point of view, symmetrically handling both of the desirable and the undesirable outputs in the assessment process in the two stage network structure is developed in this paper. The motivation of this study is the application of the directional distance function (DDF) to modeling the two-stage network structure with the undesirable intermediate measures upon employing Stackelberg theory. A real case on the thirteen poultry units in Iran has been illustrated to verify the applicability of the proposed approach. پرونده مقاله