  We present the first study of the vector (Wess-Zumino) current in tau^-\to
K^-pi^-K^+\nu_\tau decay using data collected with the CLEO III detector at the
Cornell Electron Storage Ring. We determine the quantitative contributions to
the decay width from the vector and axial vector currents. Within the framework
of a model by Kuhn and Mirkes, we identify the quantitative contributions to
the total decay rate from the intermediate states \omega\pi, \rho^{(\prime)}\pi
and K^{*}K.
