The notion of a fuzzy set in a set was introduced by L. A. Zadeh , and since then this concept has been applied to various algebraic structures. K. T. Atanassov  defined the notion of an intuitionistic fuzzy set, as a concept more general than a fuzzy set (see also ). Using fuzzy ideals, N. Kuroki  discussed characterizations of semigroups (see also ). K. H. Kim and Y. B. Jun  considered the intuitionistic fuzzification of the notion of several ideals in a semigroup, and investigated some properties of such ideals (see also ). M. K. Sen and N. K. Saha  defined the concept of a Gamma-semigroup, and established a relation between regular Gamma-semigroup and Gamma-group (see also , (8]). In this paper, we introduce the notion of an intuitionistic fuzzy Gamma-ideal of a Gamma-semigroup, and we investigate some properties connected with intuitionistic fuzzy Gamma-ideals in a Gamma-semigroup.