  The possibility of Bloch oscillations for a degenerate and superfluid Fermi
gas of atoms in an optical lattice is considered. For a one-component
degenerate gas the oscillations are suppressed for high temperatures and band
fillings. For a two-component gas the Landau criterion is used for specifying
the regime where Bloch oscillations of the superfluid may be observed. We show
how the amplitude of Bloch oscillations varies along the BCS-BEC crossover.
