New branches of spin waves spectra in non-ferromagnetic conductors and two-dimensional electron gas were predicted. The resonance (local, quasilocal and magnetoimpurity) electron states on impurity atoms were taken into account. Near frequencies of electron resonance transitions between spin split resonance levels and Landau levels there exist weakly damped spin magnetization oscillations called magnetoimpurity spin waves. A physical cause for existence of these waves is localization of electrons on impurity atoms stimulated by a magnetic field. The localization attenuates dissipation processes and leads to a possibility of propagation of new spin waves which are absent in pure samples. A spectrum and damping decrement of these waves were determined. New resonance features in an energy spectrum of inelastic neutron magnetic scattering on spin waves in conductors and two-dimensional electron gas with resonance states of electrons in a magnetic field were discovered.