A　robust　scheme　is　proposed　for　producing　maximally　entangled　states　for　many　trapped　ions　in　thermal　motion.　In　the　scheme　the　ions　are　simultaneously　illuminated　by　two　standing-wave　laser　fields.　During　the　operation　the　phases　of　the　lasers　are　inverted,　which　not　only　cancels　the　vibration-dependent　parts　in　the　evolution　operator,　but　also　suppresses　direct　off-resonant　coupling　of　the　internal　states.　Thus,　our　scheme　allows　the　production　of　entanglement　for　hot　trapped　ions　with　laser　fieids　of　high　intensity,　which　makes　the　entanglement　speed　extremely　high.　©　International　Academic　Publishers.