The contribution of the Unresolved Extragalactic Radio Sources to the diffuse brightness of the sky was evaluated using the source number - flux measurements available in literature . We first optimized the fitting function of the data based on number counts distribution . We then computed the brightness temperature at various frequencies from 151 MHz to 8440 MHz and derived its spectral dependence . As expected the frequency dependence can be described by a power law with a spectral index \gamma \simeq - 2.7 , in agreement with the flux emitted by the steep spectrum sources . The contribution of flat spectrum sources becomes relevant at frequencies above several GHz . Using the data available in literature we improved our knowledge of the brightness of the unresolved extragalactic radio sources . The results obtained have general validity and they can be used to disentangle the various contributions of the sky brightness and to evaluate the CMB temperature .