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There are situations in which some order restrictions are assumed about the parameters of the underlying distribution.Such restrictions may enable us to improve on usual estimation procedures.Methods for improving have been investigated by Cohen and Sackrowiz (1970),Brewster and Zidek (1974),Kushary and Cohen (1989),and Kubokawa and Saleh (1994) and Kubokawa (1994) among others.The most attention in the literature has been given to estimation problems.Xiao and Takada (2006,2007) considered prediction problems under ordered parameters and provided methods for improving on the usual predictors.Here we consider an improvement on usual prediction intervals.