We use simple 2‐parameter models to fit gamma‐ray burst spectra from the SIGNE experiments aboard the Venera 13 and 14 spacecraft in order to estimate burst luminosity and spectral hardness. We then look for correlations between these two parameters. The hardness is characterized by kT andEcfor thermal bremsstrahlung and thermal synchrotron fits, respectively. The spectra are integrated over 1/2 s or longer, depending on photon statistics. We find that generally luminosity increases with spectral hardness. We fit power laws of the formL∝kT&ggr;to 12 bursts. A wide range of indices with 0.5<&ggr;<2.5 is found, broader than that reported by Golenetskiietal.1