We　propose　a　scheme　for　realizing　a　controlled　geometric　phase　gate　for　two　neutral　atoms.　We　apply　the　stimulated　Raman　adiabatic　passage　to　transfer　atoms　from　their　ground　states　into　Rydberg　excited　states,　and　use　the　Rydberg　interaction　induced　energy　shifts　to　generate　geometric　phase　and　construct　quantum　gates.