Novel types of tandem solar cells (TSC) based on dye-sensitized (DSC) and perovskite (PSC) solar cells including DSC/DSC and DSC/PSC configurations with a common counter electrode were fabricated and investigated. The measurements of PV parameters for tandem solar cells under AM1.5 light intensity conditions have shown that the highest power conversion efficiency (PCE) of 14.5% was obtained for the DSC/DSC tandem configuration. At the same time, investigations of DSC/PSC tandem solar cells demonstrated the prospective benefits of this tandem system for obtaining high PCE values.