  We consider models which are natural extensions of those where supersymmetry
is broken at low energy scales and transmitted to visible matter by gauge
interactions. We investigate the situation where the quark and lepton
superfields of the MSSM are localized to a brane in a higher dimensional space
while the messenger fields and the sector which breaks supersymmetry
dynamically are localized to another brane in the same space. The MSSM gauge
and Higgs fields are assumed to propagate in the bulk. If some of the messenger
fields and the Higgs fields have the same quantum numbers, this allows the
possibility of mixing between these fields so that the physical Higgs and
messenger fields are admixtures of the brane and bulk fields. This manifests
itself in direct couplings of the quark and lepton fields to the physical
messengers that are proportional to the MSSM Yukawa couplings and hence
preserve the flavor structure of the CKM matrix. The result is new
contributions to the soft supersymmetry breaking parameters that are related to
the Yukawa couplings and which therefore naturally satisfy the constraints from
FCNC's. For messenger scales greater then 1000 TeV these new contributions are
parametrically of the same order of magnitude as gauge mediation. This scenario
naturally avoids the cosmological problems associated with stable messengers
and admits a simple and natural solution to the $\mu$ problem based on the
NMSSM.
