  We present results for the Kaon $B$ parameter from a sample of $200$
configurations using the Wilson action and $460$ configurations using the
Clover action, on a $18^3 \times 64$ lattice at $\beta=6.0$. A slight
improvement of the chiral behaviour of $B_K$ is observed due to the Clover
action. We have also compared the results for $B_K$ obtained from two different
procedures for the boosting of the coupling constant $g$. We observe a strong
dependence of $B_K$ on the prescription adopted for $g$ in the Wilson case,
contrary to the results of the Clover case which are almost unaffected by the
choice of $g$. Combining some recently obtained non perturbative estimates for
the renormalisation constants with our Clover matrix element, we observe a
significant improvement in the chiral behaviour of $B_K$.
