  A review of the direct determinations of the upper limit on the tau-neutrino
mass from the LEP experiments is given. The experimental methods, the results
and the comparison with non LEP measurements are also discussed. The study of
the systematic errors shows that the LEP results are statistically limited so
that their combination will improve the sensitivity to a massive tau-neutrino.
An unofficial combination of the ALEPH and OPAL measurements gives a 95%
confidence level upper limit of 15 MeV on the tau-neutrino mass.
