  The teleparallel version of Lewis-Papapetrou space-time is investigated. For
this space-time the true discussion of the geometric and physical properties is
given. We show that the value of space-like torsion-axial vector does not
depend on the choice of tetrad field. Consequently, the spin procession of the
Dirac particle and the corresponding Hamiltonian do. The energy and momentum
densities for such space-time are calculated.
  We show that when choosing two sets of tetrad fields the dependence and
independence of the aforementioned quantities on the tetrad field depend on the
Lorentz factor, which links the two sets of tetrad fields.
