  This paper reviews the theoretical predictions for and the experimental
measurements of the anomalous magnetic and electric dipole moments of the tau
lepton. In particular, recent analyses of the $\eettg$ process from the L3 and
OPAL collaborations are described. The most precise results, from L3, for the
anomalous magnetic and electric dipole moments respectively are: $\atau = 0.004
\pm 0.027 \pm 0.023$ and $\dtau = (0.0 \pm 1.5 \pm 1.3)\times
10^{-16}{e{\cdot}\mathrm{cm}}$.
