The work aims to carry out a comparative analysis of the individual and cooperative empty container repositioning strategy to provide a reference for shipping company to choose the best empty container repositioning strategy. Considering the fuzziness of empty container supply and demand margin in a port, as well as ship capacity constraint, with the minimization of the total cost of empty container transportation as the objective, the fuzzy optimization model of maritime empty container repositioning based on the cooperation of shipping companies was established. Then, the specific example was solved by LINGO. The cooperative empty container repositioning strategy could effectively reduce the total logistics cost of the shipping company compared with the individual empty container repositioning strategy. Of these, 0.32% came from storage cost savings, 54.05% from the rental cost savings, and 45.63% from transportation cost savings. In concision, the cooperative empty container repositioning strategy can reduce the total cost of empty container repositioning of the shipping company, and weaken the influence of the increase of the unit cost of holding and leasing empty container on the total cost of empty container repositioning, but the increase of unit transportation cost and freight royalty factor reduces the advantage of the cooperative empty container repositioning strategy.