  We study the neutralino relic density and the neutralino-proton elastic
scattering cross sections in the minimal supersymmetric standard model (MSSM)
with CP-violating phases. We include all the final states to the neutralino
pair annihilation cross section at the tree level, taking into account the
mixing between the CP-even and CP-odd neutral Higgs fields. We show that
variations of the relic density and the elastic scattering cross sections with
the CP-violating phases are significant. In particular, interferences between
the major contributions in the neutralino annihilation cross section can cause
considerable enhancement of the relic density.
