  We investigate what supersymmetry says about the geometry of the moduli space
of hyperbolic monopoles. We construct a three-dimensional supersymmetric
Yang-Mills-Higgs theory on hyperbolic space whose half-BPS configurations
coincide with (complexified) hyperbolic monopoles. We then study the action of
the preserved supersymmetry on the collective coordinates and show that
demanding closure of the supersymmetry algebra constraints the geometry of the
moduli space of hyperbolic monopoles, turning it into a so-called pluricomplex
manifold, thus recovering a recent result of Bielawski and Schwachh\"ofer.
