  To obtain fermionic quasinormal modes, the Dirac equation for two types of
black holes is investigated. For the first type of black hole, the quasinormal
modes have continuous spectrum with negative imaginary part that provides the
stability of black hole geometry. For the second type of the black hole, the
quasinormal modes have discrete spectrum and are completely imaginary. This
type of the black hole appears to be stable for arbitrary masses of fermion
field perturbations.
