  We study soft supersymmetry breaking parameters in a supersymmetric unified
model which potentially solves the doublet-triplet splitting problem. In the
model the doublet-triplet splitting is solved by the discrete symmetry which is
allowed to be introduced due to the direct product structure of the gauge
group. The messenger fields for the gauge mediated supersymmetry breaking are
naturally embedded in the model. The discrete symmetry required by the
doublet-triplet splitting makes the gaugino masses non-universal and also
induces a different mass spectrum for the scalar masses from the ordinary
minimal gauge mediation model. Independent physical CP phases can remain in the
gaugino sector even after the R-transformation.
