The non-relativistic dynamics of a spin-1/2 particle in a monopole fie
ld possesses a rich supersymmetry structure. One supersymmetry, uncove
red by d'Hoker and Vinet, is of the standard type: it squares to the H
amiltonian. In this paper we show the presence of another supersymmetr
y which squares to the Casimir invariant of the full rotation group. T
he geometrical origin of this supersymmetry is traced, and its relatio
nship with the constrained dynamics of a spinning particle on a sphere
centered at the monopole is described.