  We consider Anderson model $H^{\omega}=-\Delta+V^{\omega}$ on
$\ell^2(\mathbb{Z}^d)$ with decaying random potential. We study the point
process $\xi^{\omega}_{L,\lambda}$ associated with eigenvalues of
$H^{\omega}_{\Lambda_L}$, the retriction of $H^{\omega}$ to the finite cube
$\Lambda_L$. Our result is that the weak limit points of
$\{\xi^{\omega}_{L,\lambda}\}$ are poisson point processes as $L\to\infty$.
