In this study, a model was designed to develop and optimize the blood demand of hospitals, reduce the shortage and loss of blood and decrease the remaining inventory in hospitals as well as minimizing cycle time of blood transfusion to medical centers in the blood supply chain. This model includes donation groups, tablets,Fixed / mobile centers, laboratory centers and hospitals. The proposed model is bi-objective, three-level, multi-period for considering the uncertainty of the amount of demand in hospitals in fuzzy. The model addressed in this study includes parameters such as blood supply, demand, capacity of each center and related costs in the blood supply chain, include the possibility of lateral delivery of blood products. Therefore, the designed model was first examined in terms of important parameters with the optimization approach, ε,-constraint method in small size and numerical example in GAMS software and Then, to find the optimal Pareto solution, NSGAII meta-heuristic algorithm (Non-dominated Sorting Genetic Algorithm 2(was used to search the optimal Pareto solution, results of NSGAII algorithm show that it works better than ε,-constraint method.