  Flavor-changing terms with CP-violating phases in the quark sector may
contribute to the hadronic electric dipole moments (EDMs). However, within the
Standard Model (SM), the source of CP violation comes from the unique CKM
phase, and it turns out that the EDMs are strongly suppressed. This implies
that the EDMs are very sensitive to non-minimal flavor violation structures of
theories beyond the SM. In this paper, we discuss the quark EDMs and CEDMs
(chromoelectric dipole moments) in the MSSM with general flavor-changing terms
in the squark mass matrices. In particular, the charged-Higgs mediated
contributions to the down-quark EDM and CEDM are evaluated at two-loop level.
We point out that these two-loop contributions may dominate over the one-loop
induced gluino or Higgsino contributions even when the squark and gluino masses
are around few TeV and \tan\beta is moderate.
