We present BeppoSAX observations of the two FR I type radio galaxies Hercules A ( 3C 348 ) and MRC 0625-536 in the energy range 0.2 - 200 keV . Data analysis shows that the X-ray flux from Hercules A is consistent with a diffuse thermal plasma emitting at T \approx 4 - 5 keV with a possible , but somewhat uncertain , contribution of a softer component at T \approx 3 keV . The non thermal emission from the active nucleus must be significantly smaller than the thermal one , and no indication of relevant core obscuration by a surrounding torus was detected . The flux from MRC 0625-536 originates form an extended region and has been fitted to a thermal law with T \approx 5.7 keV and with a column density consistent with the galactic absorption . A spatially resolved spectral analysis does not show a relevant variation of the temperature and the metallicity across the diffuse emission zone . A non thermal spectral component , related to the nuclear activity , may be present in the innermost region with some possible amount of local obscuration , contributing \mathbin { \raise 2.0 pt \hbox { $ < $ } \hskip { -9.0 pt } \lower 4.0 pt \hbox { $ \sim$ } } 10 \% to the total luminosity . Hard X-ray emission from MRC 0625-536 has been detected in the PDS ( 15 - 200 keV ) that may be related either to its galactic core or to the intracluster region .