The gauge mediation models with a gravitino mass in the eV range is a
quite attractive scenario which causes no cosmological/astrophysical problems.
The model construction with such a light gravitino is, however, quite challenging
and in most cases ends up with the problems with the suppressed gaugino mass,
the vacuum instability and the Landau pole problems of the Standard Model gauge
In this talk, I explain our proposal in which a gauge mediation model with the gravitino whose mass in the eV range is realized without having those problems.