  We consider the motion of massive and massless particles in a
five-dimensional spacetime with a compactified extra-dimensional space where a
black hole is localized, i.e., a caged black hole spacetime. We show the
existence of circular orbits and reveal their sequences and stability. In the
asymptotic region, stable circular orbits always exist, which implies that
four-dimensional gravity is more dominant because of the small
extra-dimensional space. In the vicinity of a black hole, they do not exist
because the effect of compactification is no longer effective. We also clarify
the dependence of the sequences of circular orbits on the size of the
extra-dimensional space by determining the appearance of the innermost stable
circular orbit and the last circular orbit (i.e., the unstable photon circular
orbit).
