In　this　paper,　we　consider　the　interval　estimation　problem　on　the　process　capability　indices　in　general　random　effect　model　with　balanced　data.　The　confidence　intervals　for　three　commonly　used　process　capability　indices　are　developed　by　using　the　concept　of　generalized　confidence　interval.　Furthermore,　some　simulation　results　on　the　coverage　probability　and　expected　value　of　the　generalized　lower　confidence　limits　are　reported.　The　simulation　results　indicate　that　the　proposed　confidence　intervals　do　provide　quite　satisfactory　coverage　probabilities.