The　geometric　structure,　band　structure　and　density　of　state　of　pure　and　Ag-N,　Ag-2N　codoped　wurtzite　ZnO　have　been　investigated　by　first-principles　ultrasoft　pseudopotential　method　in　the　generalized　gradient　approximation.　These　structures　induce　fully　occupied　defect　states　above　the　valence-band　maximum　of　bulk　ZnO.　The　calculation　results　show　that　the　codoped　structure　Ag-N　has　better　stability.　Meanwhile,　the　carrier　concentration　is　increased　in　the　Ag-2N　codoped　configuration　where　the　delocalized　features　are　obvious.　Our　findings　suggest　that　codoping　of　Ag-2N　could　efficiently　enhance　the　N　dopant　solubility　and　is　likely　to　yield　better　p-type　conductivity.