  We show how the transverse tau tau spin correlations can be used to measure
the parity of the Higgs boson and hence to distinguish a CP-even H boson from
CP-odd A in the future high energy accelerator experiments. We investigate the
subsequent decays of the tau into pi nu and rho nu. The prospects for the
measurement of the Higgs boson parity with a mass of 120 GeV are quantified for
the case of e+ e- collisions of 500 GeV center of mass energy. The Standard
Model Higgsstrahlung production process is used as an example.
