B-->K*l(-)I(+) (l=mu, tau) is analyzed in a minimally extended standard model in which the Wilson coefficients have new CP-odd phases. The sensitivity of the CP asymmetry and lepton polarization asymmetries to the new phases is discussed. It is found that the CP asymmetry is sensitive to the new phase in the Wilson coefficient C-7 whereas the normal lepton polarization asymmetry is sensitive to the phase in the Wilson coefficient C-10. Additionally, the correlation between the CP and normal lepton polarization asymmetries is studied. A simultaneous measurement of these two asymmetries can be useful in search for the existence of the new sources of CP violation beyond the standard model.