The measurement of the correlation between the transverse spin compone
nts of tau(+)tau(-) pairs collected during 1992 to 1994 with the DELPH
I detector at LEP1 is presented. A value C-TT = 0.87 +/- 0.20 (stat.)(
-0.12)(+0.10) (syst.) was obtained for the correlation parameter, in a
greement with the Standard Model expectation. (C) 1997 Published by El
sevier Science B.V.