In this paper, the concept of interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup with respect to interval t-norm T and interval t-conorm S is given and the characteristic properties are described. We characterized some other classes of ternary semigroups by the properties these interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup. The homomorphic image and inverse image are also investigated.