Considering the complex coupling relationship among multi-carrier energy system, production system and emission system, a so-called integrated hub concept was introduced, in terms of which a modeling approach for integrated energy system considering the synergy among energy, material and emission elements was presented. The case study indicates that the energy cost and benefit, the energy demand required by product manufacturing, the product benefit and emission cost directly influence the optimal results of energy system. These factors interact cooperatively to comprehensively decide the optimal strategy for energy planning and design. Thus due to the synergy among energy, material and emission the developed modeling approach could resolve the optimization problem of energy system much more systematically and reasonably as compared to the available multi-carrier energy model.