We point out that for a class of 'new inflation' models in supergravit
y the required initial value of the inflaton field is dynamically set
if there is another inflation ('pre-inflation') before the 'new inflat
ion'. We study the dynamics of both inflatons by taking a hybrid infla
tion model for the 'pre-inflation' as an example. We find out that our
'new inflation' model provides reheating temperatures T-R similar or
equal to 10 MeV-10(4) GeV low enough to avoid the gravitino problem ev
en in gauge-mediated supersymmetry-breaking models. We also construct
a model where the scale for the 'new inflation' is generated by nonper
turbative dynamics of a supersymmetric gauge theory. (C) 1997 Publishe
d by Elsevier Science B.V.