The　adsorption　of　NO　on　the　M/c-ZrO2(110)　(M　=　Ru,　Rh)　surface　has　been　studied　with　periodic　slab　model　by　PW91　approach　of　GGA　within　the　framework　of　density　functional　theory.　The　results　of　geometry　optimization　indicated　that　the　hollow　site　is　energetically　stable　for　Ru　and　Rh　atoms＇　adsorption　on　the　c-ZrO2(110)　surface　with　adsorption　energies　of　207.4　and　106.3　kJ/mol,　respectively.　When　NO　is　adsorbed　on　the　M/ZrO　2(110)　surface,　the　N-down　adsorption　is　the　most　stable.　We　also　studied　the　adsorption　of　double　NO　on　the　M/c-ZrO2(110)　surface.　Complete　linear　synchronous　transit　and　quadratic　synchronous　transit　approaches　were　used　to　search　the　transition　state　for　dissociation　reaction.　NO　has　two　possible　dissociation　passways:　(1)　2NO　→　N2　(g)　+　2O　(ads),　(2)　2NO　→　N2O　(g)　+　O　(ads),　and　the　former　is　easier　than　the　latter　based　on　the　calculation　results.