  We compute the moduli metrics of worldvolume 0-brane solitons of D-branes and
the worldvolume self-dual string solitons of the M-5-brane and examine their
geometry. We find that the moduli spaces of 0-brane solitons of D-4-branes and
D-8-branes are hyper-K\"ahler manifolds with torsion and octonionic K\"ahler
manifolds with torsion, respectively. The moduli space of the self-dual string
soliton of the M-5-brane is also a hyper-K\"ahler manifold with torsion.
