  We propose a novel mechanism of electroweak symmetry breaking in
supersymmetric models, as the one recently discussed by Birkedal, Chacko and
Gaillard, in which the Standard Model Higgs doublet is a pseudo-Goldstone boson
of some global symmetry. The Higgs mass parameter is generated at one loop
level by two different, moderately fine-tuned sources of the global symmetry
breaking. The mechanism works for scalar superpartner masses of order 10 TeV,
but gauginos can be light. The scale at which supersymmetry breaking is
mediated to the visible sector has to be low, of order 100 TeV. Fine-tuning in
the scalar potential is at least two orders of magnitude smaller than in the
MSSM with similar soft scalar masses. The physical Higgs boson mass is (for
$\tan\beta\gg1$) in the range 120-135 GeV.
