  In the present paper, we consider a rotating black hole moving in a static
homogeneous electromagnetic field. We assume that the field is weak and neglect
its backreaction on the geometry, so that the metric at far distance from the
black hole is practically flat. We present an exact solution for a stationary
electromagnetic field in the presence of the black hole for this problem and
use it to calculate fluxes of the energy, momentum and angular momentum into
the black hole. Using these results we derive the equations of motion of the
rotating black hole in the electromagnetic field and discuss some of the
interesting solutions of these equations. In particular, we demonstrate how the
interaction of the spin of the black hole with the external magnetic field
changes its trajectory.
