In this paper the concept of the extension of intuitionistic fuzzy h-ideals in one sided Γ-hemiring is introduced and some of the basic properties are investigate. Finally we have explained the extension of intuitionistic fuzzy h-biideal, intuitionistic fuzzy h-interior ideal and h-quasi-ideals and discussed the some of its properties. © 2014 V. Kirshnamoorthy and D. Ezhilmaran.