The work analyzes hydrogen sulfide sorption from model gas mixtures containing H2S from 1.25 × 10–3 to 1.28 × 10–4 mol/L under static conditions at temperatures 253 and 298 K on the raw manganese ore of the Ulu-Telyak deposit (Bashkortostan, Russia), manganese(IV) oxide, and manganese(IV) and iron(III) oxide mixtures. The thermodynamic models for calculating the equilibrium constants and Gibbs energy changes were analyzed. The sorption isotherms were described by the Langmuir, Freundlich, Temkin, and Dubinin–Radushkevich models. The value of enthalpy of hydrogen sorption on the ore was −68.98 ± 3.45 kJ/mol and those on model mixtures Mn4 + Fe2O3 and MnO4 were ±12.20 kJ/mol and −103.826 ± 5.19 kJ/mol, respectively, and the entropies of the hydrogen sulfide sorption process on three manganese materials at 253 K were calculated. The limiting capacity values of manganese materials at 253 and 298 K were obtained. The morphological analysis of the ore samples, Mn4 + Fe2O3, and MnO4, before and after hydrogen sulfide sorption, was carried out at 253 K. The obtained thermodynamic parameters determine the advantage of using the raw manganese ore over pure oxides, which characterizes its effective practical application in the desulfurization process.