Using the general, model independent form of the effective Hamiltonian, the
general expressions of the longitudinal, normal, and transversal polarizat
ion asymmetries for l(-) and l(+) and combinations of them for the exclusiv
e B-->Kl(+)l(-) decay are found. The sensitivity of lepton polarizations an
d their combinations on new Wilson coefficients are studied. It is found th
at there exist regions of Wilson coefficients for which the branching ratio
coincides with the standard model result while the lepton polarizations di
ffer substantially from the standard model prediction. Hence, studying lept
on polarization in these regions of new Wilson coefficients can serve as a
promising tool for establishing new physics beyond the standard model.