Motivated by the attractive features of robust priors and MML (modified maximum likelihood) estimators, we develop MML estimators and HPD (highest posterior density) estimators of the location and scale parameters of gamma distribution family which represents a wide class of skew distributions. We show that the proposed estimators have desirable properties. This paper is a sequel to an earlier paper (Bian and Tiku 1995) which deals with a family of symmetric distributions (Student t).