The influence of finite conductivity on the branching of the 3D autooscillating regimes of MHD flow in annular channel with absolutely conducting bounds in the longitudinal magnetic field are studied. Two types of 3D secondary autooscillationary regimes are formed for such flow: axisymmetrical and asymmetrical spiral autooscillations with average rotating. Taking into account finite conductivity of fluid, for this fully self-coordination problem, leads to the fact that alongside with nonlinear interaction of velocity disturbances, nonlinear interaction of magnetic field disturbances becomes essential. In consequence of which secondary autooscillating regimes not only deform the initial velocity profile but contain stationary magnetic field components. The excitation of stationary field is accompanied by the occurrence of stationary longitudinal and azimuthal currents. In the present paper the branching of both types of secondary regimes has been calculated and the parameters when spiral autooscillation with b

oth average rotating and azimuthal stationary field are stable, have been identified.