Tilting　theory　plays　an　important　role　in　the　representation　theory　of　coalgebras.　This　paper　seeks　how　to　apply　the　theory　of　localization　and　colocalization　to　tilting　torsion　theory　in　the　category　of　comodules.　In　order　to　better　understand　the　process,　we　give　the　(co)localization　for　morphisms,　(pre)covers　and　special　precovers.　For　that　reason,　we　investigate　the　(co)localization　in　tilting　torsion　theory　for　coalgebras.