We study X-ray and soft \gamma -ray spectral properties of nearby Broad-Line Radio Galaxies ( BLRGs ) using data from Ginga , ASCA , OSSE and EXOSAT . The X-ray spectra are well fitted by an intrinsic power-law continuum with an energy index of \alpha \sim 0.7 , moderately absorbed by a cold medium . In addition , the Ginga spectra show fluorescent Fe K \alpha lines with an average equivalent width of \sim 100 eV , and , in some cases , Compton reflection humps . However , the latter components are significantly weaker than both those seen in radio-quiet Seyferts and those expected if the Fe K \alpha lines were due to reflection . We find that this weakness of reflection can not be explained by dilution by another continuum component , e.g. , from a jet . Some ASCA and EXOSAT spectra show soft X-ray excesses below \sim 3 keV . When that component is taken into account , the Fe K \alpha lines in the ASCA data are found to be unresolved in most cases , and to have equivalent widths \la 200 eV , consistent with the Ginga data . Multiple observations of 3C 390.3 and 3C 382 show the Fe K \alpha line approximately constant in flux but accompanied by strong continuum variations . This indicates the bulk of the line is formed by matter at a distance much larger than an accretion-disk scale , consistent with the ASCA line width measurements . The column density of the matter required to account for the observed line fluxes is N _ { H } \ga 10 ^ { 23 } cm ^ { -2 } . Such a medium is in the line-of-sight in 3C 445 but it has to be out of it in other objects , in which the observed N _ { H } are substantially lower . Thus , a cold medium with that N _ { H } and covering a large solid angle is common in BLRGs but in most object it is out of the line-of-sight , consistent with the unified AGN model . The spectra of BLRGs break and become softer above \sim 100 keV , as shown by a simultaneous ASCA /OSSE observation of 3C 120 and by the OSSE spectra being on average much softer than the X-ray spectra . Finally , we find the X-ray and \gamma -ray spectral properties of Cen A , a bright narrow-line radio galaxy – \alpha \simeq 0.8 , no or weak Compton reflection , N _ { H } \ga 10 ^ { 23 } cm ^ { -2 } ( which is consistent with the Fe K \alpha line flux ) , and a high-energy break at \sim 100 keV – consistent with it being intrinsically very similar to BLRGs studied here , again in agreement with the unified model .