  In the context of topcolor-assisted technicolor (TC2) models, we consider the
process $e^{+}e^{-}\to \nu\bar{\nu}\gamma$ and calculate the cross section of
this process at leading order.It is shown that the extra U(1) gauge boson
$Z^{\prime}$ predicted by TC2 models can give significant contributions to the
process $e^{+}e^{-}\to \nu_{\tau}\bar{\nu}_{\tau}\gamma$, which may be detected
in the future high energy linear $e^{+}e^{-}$ collider(LC) experiments.
