This　current　paper　considers　a　pointwise　lower　bound　for　generalized　deconvolution　density　estimation　under　the　local　Holder　condition.　Our　result　can　be　considered　as　extensions　of　the　deconvolution　density　estimation　and　the　classical　density　estimation　with　no　errors.　In　addition,　we　do　not　assume　that　the　noises　are　identically　distributed　in　this　paper.