Abstract Description of the kinetics of the spin-system with a strong Ising exchange interaction suggested earlier1,2) applied for the analysis of the one-dimensional Ising model affected by a strong alternating field. Taking into account the non-equilibrium states of the reservoir of the magnetic dipole-dipole interactions of spins the system of the kinetic equations is obtained. The closing of these equations is based on the assumption of the reduced description of a many-particle physical system. The analysis of the solutions of such equations for the magnet being excited by the alternating magnetic fields at one and two resonance frequencies is carried out. In particular, it is shown that a strong polarization of the magnet can be created by the saturation at a certain frequency. This saturation can also be accompanied by a negative temperature in a certain group of the energy levels of the many-particle system being considered and can create a strong emission at the resonance frequency corresponding to these levels.