A model of relativistic spinning particle with arbitrary spin and mass [ m,s] is analyzed. The configuration space of model is product of Minkofsky space and lightcone Minkowsky space. The system describe Zitterbevgung at the classic level. Together with the explicit realize Poincare symmetry the action function turn on to invariant two type of gauge transformation having their origin in the presence of two first class constrain. In Hamiltonian formalism those constrain correspond to strong conservation for phase space counterparts of Casimir operator of Poincare group. In chapter 3 we solve equation of motion and eliminate the mass and the spin of particle. The solution base on a specific Anzats. A new method for approach of the action of free relativistic spinning particle suggest in chapter 4. Thi method is systematic and show that relativistic spinning particle is a logical extension of free relativistic particle in Minkowsky space. In last chapter the relativistic spinning article analyzed in Hamiltonian framework. The model is heavily constrained and constrain analyzed in Dirac scheme is novel. The model possess a large number of freedom and the hence a judicious choice gauge become imperative. Our major finding is a new gauge fixing that lead to correspond Lagrangia analyze. The gauge fixing in reduce phase space simplified considerably for fortune study.