  In this paper, we prove a power-law version dynamical localization for a
random operator $\mathrm{H}_{\omega}$ on $\mathbb{Z}^d$ with long-range
hopping. In breif, for the linear Schr\"odinger equation
$$\mathrm{i}\partial_{t}u=\mathrm{H}_{\omega}u, \quad u \in
\ell^2(\mathbb{Z}^d), $$ the Sobolev norm of the solution with well localized
initial state is bounded for any $t\geq 0$.
