  We calculate the radiative correction to the theta term in the generic
left-right supersymmetric model due to the Kobayashi-Maskawa source of
CP-violation. We found that the value of $\bar{\theta}$ is very sensitive to
the relations between vacuum expectation values of bidoublet scalars $<\Phi_1>
= diag(\kappa_1, \kappa_1')$ and $<\Phi_2> = diag(\kappa_2', \kappa_2)$. The
minimal value of $\bar{\theta}$ in the model is found to be of order $10^{-9}$
for $\kappa_1/\kappa_2\sim 1$, $\kappa_1'=\kappa_2'=0$ in agreement with the
experimental constraint without an axion mechanism or fine tuning. In other
regions of the parameter space, the radiatively induced $\bar{\theta}$ gives
unacceptably large contributions to the electric dipole moment of the neutron.
