Abstract. Symmetric top is a special case of the general top, and canonical Poisson structure on T ^*SE (3) is a common method of its description. This structure is invariant under the right action of SO (3), but the Hamiltonian of the symmetric top is invariant only under the right action of subgroup S¹ that corresponds to the rotation around the symmetry axis of the symmetric top. So, its Poisson structure was obtained as the reduction T ^*SE (3)/S¹. We propose the Hamiltonian and motion equations that describe the wide class of the interaction models of symmetric top and axially-symmetric external field

Keywords: mathematical model of the symmetric top, Poisson reduction, symplectic leaves, 2-form of Kirillov–Kostant–Souriau, relative equilibrium, energy-momentum method.