  Simon type monotonicity formulas for the Willmore functional $\int |
\mathbf{H} |^2$ in the hyperbolic space $\mathbb{H}^n$ and $\mathbb{S}^n$ are
obtained. The formula gives a lower bound of $\int_{\Sigma} | \mathbf{H} |^2$
where $\Sigma^2$ is any closed surface in $\mathbb{H}^n$.
