Diffuse gamma -ray background emission has been observed by a number of sat
ellites and balloons. The spectrum spreads over a wide range of photon ener
gies, and the emission is almost isotropic. Although the origin of diffuse
gamma -ray background emission is still unclear, some candidates are sugges
ted, such as Seyfert galaxies, blazars, and type-la supernovae. The type-la
supernovae synthesize a large amount of Ni-56, which emit gamma -ray photo
ns while decaying into Co-56 and then to Fe-56, and thus emit strong gamma
-rays of energy around I MeV. We estimate the intensity of the diffuse gamm
a -ray background emission from supernovae, and compare the result with the
recent observation of COMPTEL. The resultant spectrum is too small to expl
ain the observation, because it is only 10% of the observed flux, implying
contributions from other sources.