The core is usually an empty set in classical cooperative game, in order to overcome this defect, the bargaining set of classical cooperative game is extended into the fuzzy cooperative game, and concepts of fuzzy bargaining sets in the fuzzy cooperative game are provided. The equivalence property of the fuzzy bargaining set in fuzzy network game is discussed, and some conclusions are drawn. The study demonstrates that the fuzzy bargaining set of the fuzzy cooperative game is a natural continuation of classical bargaining set, this result not only enriches the solution of fuzzy cooperative game, but also provides the nonempty property of the core in the fuzzy network game, and indicates the optimal allocation is existent.