  The AMS-02 collaboration has recently reported an excess of cosmic-ray
positron fractions, which is consistent with previous results at PAMELA and
Fermi-LAT experiments. The result indicates the existence of new physics
phenomena to provide the origin of the energetic cosmic-ray positron. We pursue
the possibility that the enhancement of the positron fraction is due to the
decay of gravitino dark matter. We discuss that such a scenario viably fits
into the models in which the soft SUSY breaking parameters are dominantly from
gauge-mediation mechanism with superparticle masses of around 10 TeV. Our
scenario is compatible with ~126 GeV Higgs boson, negative searches for SUSY
particles, and non-observation of anomalous FCNC processes. We also point out
that the scenario will be tested in near future by measuring the electric
dipole moment of the electron and the lepton flavor violating decay of the
muon.
