The Shapley value of fuzzy bi-cooperative game is developed based on the conventional Shapley value of bi-cooperative game.From the viewpoint that the players can participate in the coalitions to a certain extent and there are at least two independent cooperative projects for every player to choose,Shapley value which is introduced by Grabisch is extended to the case of fuzzy bi-cooperative game by Choquet integral.Moveover,the explicit fuzzy Shapley value is given.The explicit fuzzy Shapley function can be used to allocate the profits among players in supply-chain under the competitive and uncertain environment.