  An explicit expression for the vortex velocity field as a function of the
order parameter field is derived for the case of point defects in the O(n)
symmetric time-dependent Ginzburg-Landau model. This expression is used to find
the vortex velocity probability distribution in the gaussian closure
approximation in the case of phase ordering kinetics for a nonconserved order
parameter. The velocity scales as $L^{-1}$ in scaling regime where $L\approx
t^{1/2}$ and t is the time after the quench.
