[en] By the method of discrete simulation the development and saturation of current instability arising in a plasma with ions of two kinds at relative motion of ion components across static magnetic field is investigated. The initial instability stage is characterized by electrostatic oscillations build-up frequency and increment of growth of which corresponds to linear theory predictions. The growth of fluctuation electric field amplitude leads to formation of non-stationary pits (cavitons) of density filled with high-frequency field ordered structure of long lived formations (vortices) in a phase space. The resonance (Cherenkov) interaction of plasma ions with electrostatic waves localized in a caviton results in generation of a great number of epithermal ions. The capture of a considerable part of ions by electric field of ionic pulsations of a large amplitude along with the growth of ion temperature leads to instability saturation when the destruction of localized structures and stochastic heating of the basic mass of ions occurs