  By using resonance model, we investigate $K^+ N \rightarrow K N \eta$
reactions with the assumption that these reactions are dominated by the
excitation of $N^*(1535)$ near threshold. It is found that the hyperon and
$\rho$ exchange diagrams give the most important contributions to these
reactions. Thus these reactions may be a good place to study the coupling of
$N^*(1535)$ with $K\Lambda$, $K\Sigma$ and $N\rho$ channels. We demonstrate
that the angular distributions of final particles provide useful information
about the different mechanisms of the $N^*(1535)$ excitations, which could be
useful for future experimental analysis on these reactions.
