  We find that spinning particles with suitable couplings propagating in
certain supersymmetric backgrounds of $D=4$, $N=2$ and $D=5$, $N=1$ minimal
supergravities are invariant under symmetries generated by the twisted
covariant form hierarchies of these theories. We also compare our results with
the symmetries of spinning particles generated by Killing-Yano forms which are
responsible for the separability properties of some gravitational backgrounds.
