  Classical solutions of the spherically symmetric Nordstr\"{o}m-Vlasov system
are shown to exist globally in time. The main motivation for investigating the
mathematical properties of the Nordstr\"{o}m-Vlasov system is its relation to
the Einstein-Vlasov system. The former is not a physically correct model, but
it is expected to capture some of the typical features of the latter, which
constitutes a physically satisfactory, relativistic model but is mathematically
much more complex. We show that classical solutions of the spherically
symmetric Nordstr\"{o}m-Vlasov system exist globally in time for compactly
supported initial data under the additional condition that there is a lower
bound on the modulus of the angular momentum of the initial particle system. We
emphasize that this is not a smallness condition and that our result holds for
arbitrary large initial data satisfying this hypothesis.
