  We study the Ising model in a box $\Lambda$ in $\mathbb{Z}^d$ (not
necessarily parallel to the directions of the lattice) with Dobrushin boundary
conditions at low temperature. We couple the spin configuration with the
configurations under $+$ and $-$ boundary conditions and we define the
interface as the edges whose endpoints have the same spins in the $+$ and $-$
configurations but different spins with the Dobrushin boundary conditions. We
prove that, inside the box $\Lambda$, the interface is localized within a
distance of order $\ln^2|\Lambda|$ of the set of the edges which are connected
to the top by a $+$ path and connected to the bottom by a $-$ path.
