The adsorption of a single H 2 O 2 or H 2 O molecule on a family of periodic slab models of γ-AlOOH is studied by solid-state DFT. The single H 2 O 2 or Н 2 О molecule interacts with the perfect (010) slab by intermolecular hydrogen bonds (H-bonds). In the models of γ-AlOOH with oxygen and aluminum vacancies, H 2 O 2 or Н 2 О also forms covalent OÁÁÁAl bonds. The energies of covalent OÁÁÁAl and H-bonds are estimated by a combined approach based on simultaneous consideration of the total binding energies with BSSE correction and empirical schemes of the Н-bond energy evaluation. The OÁÁÁAl bond energy ranges from~75 to~156 kJ mol −1 . The total energy of H-bond interactions in the case of H 2 O 2 exceeds that of Н 2 О by~30 kJ mol −1 for all considered slab models. In contrast to Н 2 О, a H 2 O 2 molecule always forms two H-bonds as the proton donor. The energy of these bonds noticeably increase on defect γ-AlOOH surfaces in comparison with the perfect slab due to formation of short (strong) H-bonds by adsorbed H 2 O 2 . K E Y W O R D S catalytic center, intermolecular H-bond energy/enthalpy, oxygen and aluminum vacancies, perfect and defect slab models, the Bader analysis of periodic electron density