  The CP-violating effects to the subprocess $gg\to H^+H^-$ is studied in the
mSUGRA scenario at the CERN LHC, by taking into account the experimental bounds
of electron and neutron EDM's. The CP violation effects in this process are
related to the complex phases of $\mu$ and $A_{f}$ in the mSUGRA scenario. In
our calculation we consider small CP phases of $\mu$ and $A_{f}$ and neglect
the effects of neutral Higgs bosons mixing. In this case the CP effects to the
process mainly come from the complex couplings of Higgs-squark-squark. We find
a strong dependence of charged Higgs boson pair production rate on the complex
couplings in the MSSM parameter space.
