The polarization of tau leptons in the reaction e(+)e(-) --> tau(+)tau
(-) has been measured using a e(+)e(-) collider, TRISTAN, at the cente
r-of-mass energy of 58 GeV. From the kinematical distributions of daug
hter particles in tau --> <e nu(nu)over bar>, <mu nu(nu)over bar>, rho
nu or pi(K)nu decays, the average polarization of tau(-) and its forw
ard-backward asymmetry have been evaluated to be 0.012+/-0.058 and 0.0
29+/-0.057, respectively. (C) 1997 Published by Elsevier Science B.V.