Using the most general model independent form of the effective Hamiltonian, the rare B-s --> gammal(+)l(-) decays are studied by taking into account the polarization of the photon. The total and the differential branching ratios for these decays, when the photon is in the positive or the negative helicity state, are presented. The dependence of these observables on the new Wilson coefficients is studied. Also is investigated the sensitivity of the 'photon polarization asymmetry' in B-s-->gammal(+)l(-) decays to the new Wilson coefficients. It has been shown that all these physical observables are very sensitive to the existence of new physics beyond SM and their experimental measurements can give valuable information on it.