The　adsorption　of　carbon　dioxide　on　a　non-polar　ZnO(10　(1)　over　bar0)　surface　was　investigated　by　the　density　functional　theory　(DFT)　in　combination　with　charge　self-consistence　technique　by　using　a　Zn4O4　cluster　embedded　in　an　electrostatic　field　represented　by　136　point　charges　at　the　crystal　ZnO　lattice　positions.　For　the　CO2　molecular　axis　normal　to　the　surface,　the　O　atom　can　only　coordinate　to　the　Zn2+　cation　and,　has　a.　very　weak　binding　energy　of　1.8　kJ　mol(-1).　When　the　initial　molecular　axis　is　parallel　to　the　surface,　the　five　equilibrium　geometries　were　obtained　and　four　of　them　have　lower　binding　energies　varying　from　-8.8　to　31.1　kJ　mol(-1)　after　the　inclusion　of　BSSE　correction.　The　unidentate　structure　of　a　carbon　atom　interacting　with　a　lattice　oxygen　atom　leading　to　form　carbonate　has　the　highest　binding　energy　of　139.6　kJ　mol(-1)　which　is　compatible　with　the　available　experimental　value.