  Based on the database compiled in the first article of this series, with 56
SN events discovered in 3838 galaxies of the southern hemisphere, we compute
the rate of supernovae (SNe) of different types along the Hubble sequence
normalized to the optical and near-infrared luminosities as well as to the
stellar mass of the galaxies. We find that the rates of all SN types show a
dependence on both morphology and colors of the galaxies, and therefore, on the
star-formation activity. The rate of core-collapse (CC) SNe is confirmed to be
closely related to the Star Formation Rate (SFR) and only indirectly to the
total mass of the galaxies. The rate of SNe Ia can be explained by assuming
that at least 15% of Ia events in spiral galaxies originates in relatively
young stellar populations. We find that the rates show no modulation with
nuclear activity or environment. The ratio of SN rates between types Ib/c and
II shows no trend with spiral type.
