  The Killing equation for a general Finsler space is set up. It is showed that
the Killing equation of $(\alpha,\beta)$ space can be divided into two parts.
One is the same with Killing equation of a Riemannian metric, another equation
can be regarded as a constraint. The solutions of Killing equations present
explicitly the isometric symmetry of Finsler space. We find that the isometric
group of a special case of $(\alpha,\beta)$ space is the same with the symmetry
of Very Special Relativity (VSR). The Killing vectors of Finsler-Funk space are
given. Unlike Riemannian constant curvature space, the 4 dimensional Funk space
with constant curvature just have 6 independent Killing vectors.
