  Let $\mathbb C_Q$ denote a rational quantum torus with $d$ variables, and
$\mathcal Z$ be the centre of $\mathbb C_Q$. In this paper we give a explicit
description of the structure of the cuspidal modules for the derivation Lie
algebra $\mathcal D$ over $\mathbb C_Q$, with an extra associative $\mathcal
Z$-action.
