Аннотация:We present the results of moderate resolution spectroscopy for a globular cluster in the M81 group dwarf spheroidal galaxy DDO 78. The DDO 78 globular cluster, 4 Milky Way globular clusters, spectroscopic and radial velocity standards were observed with the Long-slit spectrograph of the 6-m telescope (SAO RAS, Russia). We have derived the mean metallicity of the globular cluster in DDO78 to be [Fe/H] = -1.6± 0.1 dex by taking the weighted mean of metallicities obtained from the strength of several absorption features. We have estimated an age for the globular cluster of 9-12 Gyr similar to that found for the Galactic globular cluster NGC 362, which resembles the DDO 78 cluster in its chemical abundance and integrated spectrophotometric properties.