This paper presents the multiobjective programming problems (MOPPs) while considering the neutrosophic hesitant fuzzy situation. The indeterminacy and hesitancy degrees are incorporated in MOPPs and introduce the neutrosophic hesitant fuzzy multiobjective programming problems (NHFMOPPs). Three different membership functions determine the marginal evaluation for each objective function. Additionally, a new solution approach for solving the NHFMOPPs is investigated. The proposed method is applied to the manufacturing system problem. At last, conclusions along with a comparative study are discussed in the paper.