B-->K*l(-)I(+) (l=mu, tau) is analyzed in a minimally extended standard mod
el 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 pha
se in the Wilson coefficient C-7 whereas the normal lepton polarization asy
mmetry is sensitive to the phase in the Wilson coefficient C-10. Additional
ly, the correlation between the CP and normal lepton polarization asymmetri
es is studied. A simultaneous measurement of these two asymmetries can be u
seful in search for the existence of the new sources of CP violation beyond
the standard model.