The idea of I−convergence of real sequences was introduced by Kostyrko et al. [ Kostyrko, P., Šalát, T. and Wilczyński, W.I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686 ] and also independently by Nuray and Ruckle [ Nuray, F. and Ruckle, W. H. Generalized statistical convergence and convergence free spaces. ]. In this paper we introduce I−deferred statistical convergence of order α and strong I−deferred Cesàro convergence of order α and investigated between their relationship,