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 ) . Lick spectrophotometric indices were determined in the bandpasses adopted by Burstein et al . ( 1984 ) . We have derived the mean metallicity of the globular cluster in DDO78 to be [ Fe/H ] = -1.6 \pm 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 our cluster by chemical abundance and integrated spectrophotometric properties .