In addition to economic issue, an emission issue should also be considered in the operation of an industrial consumer in order to reduce greenhouse gases like NO 2 , SO 2 and CO 2 to the atmosphere. Also, multi-carrier energy hub system can be used to supply heat and power demand by an industrial consumer. Therefore, this paper proposes a conflict bi-objective model for cost-emission based operation of industrial consumer in the presence of peak load management. Compromise programming is proposed to solve the proposed bi-objective model in order to obtain the Pareto solutions. Furthermore, fuzzy decision making approach is provided to select the trade-off solution from the Pareto solutions. Finally, peak load management is employed to flat the load profile in order to reduce the operation cost and emission. The proposed model is formulated as a mixed-integer linear program which is solved by using CPLEX solver in the GAMS optimization software. Two case studies have been used and obtained results are compared to validate the performance of proposed model.