  We show that the set of cluster points of jumping numbers of a toric
plurisubharmonic function in $\mathbf{C}^n$ is discrete for every $n \ge 1$. We
also give a precise characterization of the set of those cluster points. These
generalize a recent result of D. Kim and H. Seo from $n=2$ to arbitrary
dimension. Our method is to analyze the asymptotic behaviors of Newton convex
bodies associated to toric plurisubharmonic functions.
