Аннотация:After a brief history of two known types of neutrino mixing and oscillations, including neutrinospin and spin-flavour oscillations in the transversal magnetic field, we perform systematic studyof a new phenomenon of neutrino spin and spin-flavour oscillations engendered by the transversalmatter currents on the bases of the developed quantum treatment of the phenomenon. Possibilities for the resonance amplification of these new types of oscillations by the longitudinal mattercurrents and longitudinal magnetic fields are analyzed. We also consider modifications of theoscillation probabilities due to possible arbitrary orientation of the magnetic field vector B andthe matter velocity v.