Two-parameter Pareto distribution is not only a potential model for lifetesting problems, also established its important role in variety of other prob-lems such as size of cities, rms and business mortality. In present article,two-parameter Pareto distribution is considered as the underlying model forthe study. Some Bayes estimators are obtained for shape parameter underknown as well as unknown case of scale parameter. A Progressive Type-IIcensored data is considered and performances of the procedures are studiedin terms of relative eciency, based on simulated and a real life data.