In this paper, the notions of intuitionistic fuzzy h-ideal in Γ- hemiring are studied and some of the basic properties of this ideal are investigated. The level set of intuitionistic fuzzy h-ideal in Γ- hemiring is defined and described some of the characterizations. Finally a Cartesian product of intuitionistic fuzzy h-ideal in Γ- hemiring is introduced and its properties are discussed. © International Science Press.