The study is focused on the synthesis of ozone in discharge cells of dielectric barrier discharge (DBD), in which electrodes with high active electrical resistance are used. It is shown that such ozone generators have higher productivity in comparison with traditional devices in which metal electrodes with low active electrical resistance are used. The physical laws leading to such result were analyzed. Also, the paper presents the results of comparative experimental studies of the basic performance of ozone generators with high and low active electrical resistances of electrodes.