  We have analyzed the electric dipole moment and the Higgs mass constraints on
the supersymmetric model which offers dynamical solutions to the \mu and strong
CP problems. The trilinear coupling phases, and \tan\beta-|\mu| are strongly
correlated, particularly in the low-\tan\beta regime. Certain values of the
phases of the trilinear couplings are forbidden, whereas the CP violating phase
from the chargino sector is imprisoned to lie near a CP conserving point, by
the Higgs mass and electric dipole moment constraints.
