A new model of the relativistic massive particle with arbitrary spin [
the (m, s) particle] is suggested. The configuration space of the mode
l is the product of Minkowski space and a two-dimensional sphere: M(6)
= R(3,1) x S-2. The system describes Zitterbevegung at the classical
level. Together with explicitly realized Poincare symmetry, the action
functional turns out to be invariant under two types of gauge transfo
rmations having their origin in the presence of two Abelian first clas
s constraints in the Hamilton formalism. These constraints correspond
to strong conservation for the phase space counterparts of the Casimir
operators of the Poincare group. Canonical quantization of the model
leads to equations on the wave functions which prove to be equivalent
to the relativistic wave equations for the massive spin s field.