We derive the allowed mass range for the superlight gravitino present
in a large class of supersymmetric models from the observed neutrino l
uminosity from Supernova 1987A. We find that for photino masses of ord
er of 100 GeV, the mass range 2.6 x 10(-8) eV less than or equal to mg
< 2.2 x 10(-6) eV for the gravitino (g) over tilde is excluded by SN1
987A observations, Unlike the bounds on mg from nucleosynthesis, the b
ounds in the present paper do not depend critically upon the uncertain
ties of the observational input. (C) 1997 Elsevier Science B.V.