The possibility of observing gamma ray emission from supernova remnant
s is discussed. It is shown that this could be possible in the 100 MeV
band accessible to satellite instruments, but that confusion with the
Galactic background is a major problem. At TeV energies and with mode
rn imaging atmospheric cherenkov telescopes the situation should be mu
ch better and at least some of the nearby remnants may be detectable.
Positive detections in both bands would provide a decisive test of cur
rent theoretical ideas on particle acceleration in supernova remnants
and the origin of the Galactic cosmic rays.