[en] The problem of structure of cylindrical Z-pinch at the stage of convergence is solved taking into account terms related to the thermal force. The terms have not been considered in MHD description of the discharge before. It is shown that at high magnetization of electron terms related to the thermal force are of one order with terms, providing a considerable contribution to the distribution of physical values in the plasma pinch envelope. Evolution condition of the system of equations describing the discharge, taking into account new terms, is obtained. Stability conditions of difference equations for solution of the system of equations describing the dynamics of Z-pinch with new terms are also obtained