Considering fuzzy restricted coalitions appearing in the practical cooperation, the tau-value for the fuzzy graph cooperative games with the Choquet integral is defined, and its existence and some important properties are proved. The relation between the tau-value and the fuzzy core is discussed. The computational formula of tau-value for the convex fuzzy graph cooperative games is given. Finally,the effectiveness and rationality of the tau-value is illustrated by a numerical example. The research result shows that the tau-value is an extension of that for crisp cooperative game.