  We study the elastic scattering of the lightest neutralino with a nucleus in
the framework of the minimal supersymmetric standard model (MSSM) with explicit
flavor preserving CP violation, including the one-loop CP-violating neutral
Higgs-boson mixing effects induced dominantly by the CP phases in the top and
bottom (s)quark sectors. We construct the most general form of the effective
Lagrangian for the neutralino-nucleus scattering in the limit of vanishing
momentum transfers and then we perform a comprehensive analysis of the effects
of the complex CP phases on the mass spectra of the lightest neutralino,
neutral Higgs bosons and top squarks, and on the the spin-dependent and
spin-independent neutralino-nucleus scattering cross section for three neucleus
targets F, Si and Ge. The CP phases can reduce or enhance the
neutralino-nucleus cross sections significantly, depending on the values of the
real parameters in the MSSM.
