  We consider dynamics of a charged particle in a finite along the $x$
direction square lattice in the presence of normal to the lattice plane
magnetic field and in-plane electric field aligned with the $y$ axis. For
vanishing magnetic field this dynamics would be common Bloch oscillations where
the particle oscillates in the $y$ direction with amplitude inverse
proportional to the electric field. We show that a non-zero magnetic field
crucially modifies this dynamics. Namely, the new Bloch oscillations consist of
time intervals where the particle moves with constant velocity in the $x$
direction intermitted by intervals where it is accelerated or decelerated along
the lattice edges. The analysis is done in terms of the Landau-Stark states
which are eigenstates of a quantum particle in a two-dimensional lattice
subject to (real or synthetic) electric and magnetic fields.
