  We consider constraints on $\cp$-violating phases in the Constrained Minimal
Supersymmetric Standard Model. We find that by combining cosmological limits on
gaugino masses with experimental bounds on the neutron and electron electric
dipole moments, we can constrain the phase of the Higgs mixing mass $\mu$ to be
$|\theta_\mu| < \pi/10$, independent of choices of the other mass parameters in
the model. The other $\cp$-violating phase $\theta_A$ is essentially
unconstrained.
