The work involves first-principles calculations to study the mechanism of adsorption of water molecules on the surface of ZrO2 and their yttrium-stabilized structures (YSZ). Calculations of the electronic properties of ZrO2 showed that during the m-t phase transformation of ZrO2, the Fermi level first shifts by 0.125 eV towards the conduction band, and then in the t-c region goes down by 0.08 eV. In this case, the band gaps for c-ZrO2, t-ZrO2 and m-ZrO2, respectively, are 5.140 eV, 5.898 eV and 5.288 eV. Calculations to determine the surface energy showed that t-ZrO2 (101) and m-ZrO2 (111) have the most stable structure, on the basis of which it was first discovered that the surface energy is somehow inversely related to the value of the band gap, since as the band gap increases, the surface energy tends to decrease. An analysis of the mechanism of water adsorption on the surface of t-ZrO2 (101) and t-YSZ (101) showed that H2O on unstabilized t-ZrO2 (101) is adsorbed dissociatively with an energy of −1.22 eV, as well as by the method of molecular chemisorption with an energy of −0.69 eV and the formation of a hydrogen bond with a bond length of 1.01 Å. In the case of t-YSZ (101), water is molecularly adsorbed onto the surface with an energy of −1.84 eV. Dissociative adsorption of water occurs at an energy of −1.23 eV, near the yttrium atom. The obtained results complement the database of research works carried out in the field of the application of biocompatible zirconium dioxide crystals and ceramics in green energy generation, and can be used in designing humidity-to-electricity converters and in creating solid oxide fuel cells based on ZrO2.