We present new BeppoSAX LECS , MECS and PDS observations of five lobe-dominated , broad-line active galactic nuclei selected from the 2-Jy sample of southern radio sources . These include three radio quasars and two broad-line radio galaxies . ROSAT PSPC data , available for all the objects , are also used to better constrain the spectral shape in the soft X-ray band . The collected data cover the energy range 0.1 - 10 keV , reaching \sim 50 keV for one source ( Pictor A ) . The main result from the spectral fits is that all sources have a hard X-ray spectrum with energy index \alpha _ { x } \sim 0.75 in the 2 - 10 keV range . This is at variance with the situation at lower energies where these sources exhibit steeper spectra . Spectral breaks \Delta \alpha _ { x } \sim 0.5 at 1 - 2 keV characterize in fact the overall X-ray spectra of our objects . The flat , high-energy slope is very similar to that displayed by flat-spectrum/core-dominated quasars , which suggests that the same emission mechanism ( most likely inverse Compton ) produces the hard X-ray spectra in both classes . Finally , a ( weak ) thermal component is also present at low energies in the two broad-line radio galaxies included in our study .