Due to arisen concerns over emission of different pollutant gases, generation of clean energy is an important issue in energy systems. Although, economic goals have been always prior to such environmental issues, there has been great efforts to consider environmental issues in the scheduling of power systems. Hence, in this paper,a bi-objective scheduling framework is proposed for hydrogen storage system (HSS) to optimize performance of HSS from both economic and environmental viewpoints. The proposed bi-objective model is solved via weighted um approach and max-min fuzzy satisfying technique is implemented to determine the trade-off solution be-tween the conflicting objective functions. It is noteworthy that energy consumers can participate in demand response program (DRP) to enhance the performance of system. The proposed model is studied regarding a sample microgrid energy system under a mixed-integer linear programming (MILP) and general algebraic modeling system (GAMS) is used to solve it. According to the obtained results in typical days in summer and winter, total operating cost of system under DRP is reduced which represents that economic goals of microgrid are prior to environmental ones under DRP in different seasonal conditions.