In this work we introduce the Killing-Yano symmetry on the phase space and we
investigate the symplectic structure on the space of Killing-Yano tensors. We
perform the detailed analyze of the $n$-dimensional flat space and the
Riemaniann manifolds with constant scalar curvature. We investigate the form of
some multipole tensors, which arise in the expansion of a system of charges and
currents, in terms of second-order Killing-Yano tensors in the phase space of
classical mechanics.
We find some relations between these tensors and the generators of dynamical
symmetries like the angular momentum, the mass-inertia tensor, the conformal
operator and the momentum conjugate Runge-Lenz vector.