The concepts of Ding projective, injective R-modules were first introduced by Ding and his partners in [J. Aust. Math. Soc., 86 (2009), 323– 338] and [J. Algebra Appl., 7(4) (2008), 491–506], respectively. In this paper, we investigate Ding projective, Ding injective dimensions of modules and rings.