We present BeppoSAX observations of the two FR I type radio galaxies Hercul
es A (3C 348) and MRC 0625-536 in the energy range 0.2-200 keV. Data analys
is shows that the X-ray flux from Hercules A is consistent with a diffuse t
hermal plasma emitting at T approximate to 4-5 keV with a possible, but som
ewhat uncertain, contribution of a softer component at T approximate to 3 k
eV. The non thermal emission from the active nucleus must be significantly
smaller than the thermal one, and no indication of relevant core obscuratio
n by a surrounding torus was detected. The flux from MRC 0625-536 originate
s from an extended region and has been fitted to a thermal la iu with T app
roximate to 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 of the metallicity across the diffuse emi
ssion zone. A non thermal spectral component, related to the nuclear activi
ty, may be present in the innermost region with some possible amount of loc
al obscuration, contributing less than or similar to 10% to the total lumin
osity. 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 intra
cluster region.