  We examine the prospects for discovering new physics through muon dipole
moments. The current deviation in $g_{\mu}-2$ may be due entirely to the muon's
{\em electric} dipole moment. We note that the precession frequency in the
proposed BNL muon EDM experiment is also subject to a similar ambiguity, but
this can be resolved by up-down asymmetry measurements. We then review the
theoretical expectations for the muon's electric dipole moment in
supersymmetric models.
