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We employed a first-principles method based on the density functional theory to investigate the effect of impurity O on the site preference and elastic properties of α2-Ti3Al. We found that the O atom prefers to occupy the Ti-rich octahedral interstitial site in α2-Ti3Al. We calculated the elastic constants of α2-Ti3Al with single O atom, which demonstrate that the O presence has no large effect on α2-Ti3Al according to the empirical criterions. Other factors such as O cluster should be taken into account to understand the deleterious effect of O on α2-Ti3Al. Our results provide a useful reference to further study the mechanical properties of TiAl alloys.