Considering the supersymmetric Higgs mass (mu-parameter) as a dynamica
l variable to be determined by minimizing the energy, we predict its v
alue as a function of the soft masses of the potential. We find that m
u has a nonzero value close to the weak scale. This scenario offers a
simultaneous solution to the doublet-triplet splitting problem and to
the mu-problem. We discuss its viability in theories with gauge mediat
ed supersymmetry breaking. (C) 1997 Published by Elsevier Science B.V.