  The finite-size spectrum for the multi-channel Kondo model is derived
analytically from the exact solution, by mapping the nontrivial Z$_{n}$ part of
the Kondo scattering into that for the RSOS model coupled with the impurity.
The analysis is performed for the case of $n-2S=1$, where $n$ is the number of
channel and $S$ is the impurity spin. The result obtained is in accordance with
the Kac-Moody fusion hypothesis proposed by Affleck and Ludwig.
