The CP-violating effects to the subprocess gg --> H+H- are studied in the m
SUGRA scenario at the CERN large hadron collider, by taking into account th
e experimental bounds of electron and neutron electric dipole moments. The
CP-violating effects in this process are related to the complex phases of m
u 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 boson mixing
. In this case the CP effects to the process mainly come from the complex c
ouplings of Higgs-squark-squark. We find a strong dependence of charged Hig
gs boson pair production rate on the complex couplings in the parameter spa
ce of minimal supersymmetric standard model.