  We point out that for a class of `new inflation' models in supergravity the
required initial value of the inflaton field is dynamically set if there is
another inflation (`pre-inflation') before the `new inflation'. We study the
dynamics of both inflatons by taking a hybrid inflation model for the
`pre-inflation' as an example. We find out that our `new inflation' model
provides reheating temperatures T_R \simeq 10 MeV - 10^4 GeV low enough to
avoid the gravitino problem even in gauge-mediated supersymmetry-breaking
models. We also construct a model where the scale for the `new inflation' is
generated by nonperturbative dynamics of a supersymmetric gauge theory.
