  We present a new focus point supersymemtry breaking scenario based on the
supersymmetric $E_7$ non-linear sigma model. In this non-linear sigma model,
squarks and sleptons are identified with (pseudo) Nambu-Goldstone bosons. Their
masses are generated only radiatively through gauge and yukawa interactions,
and they are much smaller than the gravitino and gaugino masses at a high
energy scale. On the other hand, Higgs doublets belong to matter multiplets and
hence may have unsuppressed supersymmetry-breaking soft masses. We consider
their masses to be equal to the gravitino mass at the high energy scale,
assuming the minimal Kahler potential for Higgs doublets. We show that the
fine-tuning measure of the electroweak symmetry breaking scale is reduced
significantly to $\Delta=30-70$, if the ratio of the gravitino mass to the
gaugino mass is around $5/4$. Also, the prospects of the discovery/exclusion of
supersymmetric particles at the Large Hadron Collider and dark matter direct
detection experiments are discussed.
