This　chapter　reviews　and　compares　some　of　the　most　known　methods　of　damage　identification,　in　the　frequency　domain,　which　use　operational　deflection　shapes　(ODSs)　built　from　the　frequency　response　functions　(FRFs).　Two　new　methods　of　damage　identification,　in　the　time　domain,　using　(ODSs)　built　from　the　time　responses　are　also　analyzed.　To　assess　the　performance　of　the　different　indicators,　two　numerical　tests　are　undertaken　with　a　finite　element　model　(FEM)　model,　of　a　cantilever　beam,　to　evaluate　their　detection　and　localizing　ability.　©　2018　World　Scientific　Publishing　Europe　Ltd.