  In presence of magnetic fields, the orbits of charged particles can be
displaced from the equatorial plane. We study circular orbits of electrically
charged massive objects around a magnetic black hole in the probe
approximation. We show that there exist a one-parameter family of circular
orbits at constant polar angle $\theta $ and constant radius $r$, parameterized
by the angular momentum. The angle $\theta $ can be made arbitrarily small by
increasing the charge-to-mass ratio of the orbiting particle, but when this is
a Reissner-Nordstr\" om black hole, the condition $q\leq m$ implies that orbits
exist only for $|\theta-\frac{\pi}{2}|<
  {\rm arccot}(2\sqrt{2})$. We show that the circular orbits are stable under
small perturbations in the $\theta $ and $r$ directions. We also discuss the
Newtonian approximation and a binary system of electric and magnetic black
holes, each one describing a circular orbit with no central force.
