  The Nordstr\"om-Vlasov system provides an interesting relativistic
generalization of the Vlasov-Poisson system in the gravitational case, even
though there is no direct physical application. The study of this model will
probably lead to a better mathematical understanding of the class of non-linear
systems consisting of hyperbolic and transport equations. In this paper it is
shown that solutions of the Nordstr\"om-Vlasov system converge to solutions of
the Vlasov-Poisson system in a pointwise sense as the speed of light tends to
infinity, providing a further and rigorous justification of this model as a
\textit{genuine} relativistic generalization of the Vlasov-Poisson system.
