  We use different assumptions for the combination of dust extinction and star
formation up to redshifts z >= 5, as well as detailed modeling of supernova
properties, to estimate the number of supernovae that should be observable with
various instruments, in particular the NGST. In the model we use realistic
light curves and spectral shapes that evolve with time for the different types
supernovae.
  We find that the NGST should be able to detect several tens of core collapse
SNe in a single detection if the observational limit in the range 1-5 microns
is 1 nJy and the field is 16 sq. arcmin. We also estimate the observable number
of Type Ia supernovae. Due to the time delay between the formation of the
progenitor star and the explosion of the supernova, there are additional
aspects that have to be considered when interpreting observational rates of
these supernovae.
