We　suggest　a　fast　two-qubit　quantum　logic　gates　for　trapped　ions　in　thermal　motion　via　geometric　phase　shifts.　In　the　scheme,　several　vibrational　modes　are　simultaneously　displaced　by　driving　the　ions　with　a　single　off-resonant　standing-wave　laser.　Under　certain　conditions,　all　the　vibrational　modes　simultaneously　return　to　the　original　points　in　the　phase　spaces　along　corresponding　closed　paths　depending　on　the　electronic　states,　producing　a　geometric　phase　gate.　During　the　gate　operation,　the　ions　undergo　no　electronic　transitions　and　the　gate　time　might　be　shorter　than　the　period　of　the　center-of-mass　vibration.　©　2006　The　American　Physical　Society.