Based on the results of computational simulations, the research addresses a broad range of electronic and optical properties which are typical for two most stable compositions of the yttrium oxyhydride, Y 4 H 10 O and YHO. Emphasis was placed on characteristics of thin films of different structural phases. Macroscopic optical properties were deduced and analyzed within the conventional scheme that utilizes the knowledge of refractive index, absorption, transmittance and reflectance spectra. Our major goal was two-fold: First, to provide modeling and description of optical spectra for various single-and bi-phase oxyhydride compositions, and second, to conduct comparative analysis that would be powerful enough to explain the features of the experimentally measured transmittance spectra. In the context of nonlinear optics, for the P-43m noncentrosymmetric cubic structure of Y 4 H 10 O we evaluated a frequency profile of the second-order susceptibility χ (2) (2ω) and showed that the bulk Y 4 H 10 O may exhibit a rather considerable optical nonlinearity.