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Massive spinning particle in six-dimensional Minkowski space is descri bed as a mechanical system with the configuration space R(5,1) X CP3. The action functional of the model is unambiguously determined by the requirement of identical (off-shell) conservation for the phase-space counterparts of three Casimir operators of Poincare group. The model i s shown to be exactly solvable. Canonical quantization of the model le ads to the equations on wave functions which prove to be equivalent to the relativistic wave equations for the irreducible 6d fields.