In order to understand the reactivity of Cr2O3 surface towards H2O molecule, the optimized structure, electronic structure, and the behavior of adsorbates were examined using a first-principles calculation based on density-functional theory (DFT). H2O coverages varying from a quarter to two monolayers (MLs) were considered. At a low coverage, the oxygen atom of H2O adsorbs on the Cr atom of the outermost Cr2O3 surface layer, the entire H2O molecule is slanted at the direction of a hollow site, and a molecular plane is nearly parallel to the surface. The hydrogen bond is formed between the surface oxygen atom and the hydrogen atom of H2O molecule. From the optimized structure, the H2O dissociation mechanism which passes through a transition state is guessed. For 0.5ML coverage the obtained absorption energy is-82.5 kJ/mol. Our results are in good agreement with other reported theoretical and experimental results.