We consider supersymmetric theories where the standard-model quark and lept
on fields are localized on a `3-brane' in extra dimensions, while the gauge
and Higgs fields propagate in the bulk. If supersymmetry is broken on anot
her 3-brane, supersymmetry breaking is communicated to gauge and Higgs fiel
ds by direct higher-dimension interactions, and to quark and lepton fields
via standard-model loops. We show that this gives rise to a realistic and p
redictive model for supersymmetry breaking. The size of the extra dimension
s is required to be of order 10-100 times larger than fundamental scale (e.
g. the string scale). The spectrum is similar to (but distinguishable from)
the predictions of `no-scale' models. Flavor-changing neutral currents are
naturally suppressed. The mu term can be generated by the Giudice-Masiero
mechanism. The supersymmetric CP problem is naturally solved if CP violatio
n occurs only on the observable sector 3-brane. These are the simplest mode
ls in the literature that solve all supersymmetric naturalness problems.