Conclusions about the nature of &ggr;‐ray bursts derived from the size‐frequency distribution may be altered if a significant correlation exists between burst intensity and spectral shape. Moreover, if &ggr;‐rays bursts have cosmological origin, such a correlation may be expected to result from the expansion of the universe. We have performed a rudimentary search of the BATSE bursts for hardness/intensity correlations. The range of spectral shapes was determined for each burst by computing the ratio of the intensity in the range 100–300 keV to that in 55–300 keV. We find weak evidence for the existence of a correlation, the strongest effect being present when comparing the maximum hardness ratio for each burst with its maximum rate.