  A concept of CP-violating (T,P-odd) permanent molecular magnetic moments
$\mu^{CP}$ is introduced. We relate the moments to the electric dipole moment
of electron (eEDM) and estimate $\mu^{CP}$ for several diamagnetic polar
molecules. The moments exhibit a steep, Z^5, scaling with the nuclear charge Z
of the heavier molecular constituent. A measurement of the CP-violating
magnetization of a polarized sample of heavy molecules may improve the present
limit on eEDM by several orders of magnitude.
