  We consider the abundance of gravitinos created from the vacuum fluctuation,
in a class of `new' inflation models for which global supersymmetry is a good
approximation. Immediately after inflation, gravitinos are produced, with
number density determined by equations recently presented by Kallosh et. al.
(hep-th/9907124) and Giudice et. al. (hep-ph/9907510). Unless reheating
intervenes, creation may continue, maintaining about the same number density,
until the Hubble parameter falls below the gravitino mass. In any case, the
abundance of gravitinos created from the vacuum fluctuation exceeds the
abundance from thermal collisions in a significant regime of parameter space,
leading to tighter cosmological constraints.
