The plasma response influence on the penetration of an external low frequency helical perturbation into a tokamak edge plasma has been studied on the basis of the two-fluid MHD equations in the linear approximation for the cylindrical model. Components of the penetrating field, the plasma flows, the perturbation current density distribution and the radial profile of the poloidal driven force density are found in the resonant region and investigated for the parameters of the TEXTOR-DED, CSTN-IV and HYBTOK-II tokamaks. Preliminary comparisons with the CSTN-IV and HYBTOK-II experiments are made and a good qualitative agreement has been found.