The system ZnO–SnO2 was investigated. Specifically, the possibilities of synthesizing zinc orthostannate were considered. The synthesis temperature of the compound from simple oxides by solid-phase synthesis was determined. A ceramic was obtained based on zinc orthostannate with the additives 5, 7.5, and 10 mol.% NiO and 5, 7.5, and 10 mol.% MnO. The properties of the powders were studied using XRD, SEM, and BET. The synthesis temperature of dense ceramics was equal to 1450°C.