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We have studied Fuzzy games and have considered a model of game in which the limits of the classical concept of an N-person game are eliminated. We have considered the exchanges of information between N-persons who can emit their information individually or together. If two are more parents emit their information in correlated manner, we have formed a coalition in a given come. Each of which is a statue which defines the rights and duties of a member of this coalitions. be the set of players. To become a member of given coalition a player i must define its attitude concerning the statue S of the coalition. If i accepts completely the statue S, becomes a rightful member of the coalition. In this case we say that the grade of membership of i to the given coalition is 1 otherwise 0 in refusal. In a classical N-person game, only these two alternative of coalitions are possible. A partial acceptance of S is also possible, the grade of membership in the coalition of players i who accepts partially in a coalitional manner the statue S of the coalition be a number in . Hence if S is given then there exists a fuzzy set A so that A(i) is the grade of acceptance i for S. So mathematically fuzzy set A is exactly the coalition with S. In a classical N-person game, a coalition structure is a relation of equivalence over J. But in a game with fuzzy coalitions, it can be represented as a fuzzy binary relation R, where is a possible coalition of the game and is the grade of the intensity of the collaboration of the player i and j in making the decisions in the game