The deviation between the prediction based on the standard model and the measurement of the muon $$g{-}2$$
g
-
2
is currently at $$3{-}4 \sigma $$
3
-
4
σ
. If this discrepancy is attributable to new physics, it is expected that the new contributions to the tau $$g{-}2$$
g
-
2
even larger than those of muon due to its large mass. However, it is much more difficult to directly measure the tau $$g{-}2$$
g
-
2
because of its short lifetime. In this report, we consider the effect of the tau $$g{-}2$$
g
-
2
at $$e^-e^+$$
e
-
e
+
colliders using a model independent approach. Using the tau pair production channel at the Large Electron Position Collider (LEP), we have determined the allowed range for the new physics contribution of the tau $$g{-}2$$
g
-
2
assuming a q-square-dependence ansatz for the magnetic form factor. We also investigated the prospect at future $$e^+e^-$$
e
+
e
-
colliders, such as International Linear Collider, the Compact Linear Collider, the Future Circular $$e^+e^-$$
e
+
e
-
Collider, and Circular Electron Positron Collider, and determined the expected allowed range for the new physics contribution to the tau anomalous magnetic moment. The best limits are about $$4{-}5$$
4
-
5
times more severe than the LEP one due to the beam polarization and the high luminosities at future colliders.