  We investigate the validity of the Dirac Quantization Condition (DQC) for
magnetic monopoles in noncommutative space-time using an extension of the
method used by Wu and Yang. We continue the work started in [1] where it was
shown that the DQC can be kept unmodified in the first order of the
perturbative expansion in the noncommutativity parameter \theta. Here we
include second order corrections and find that, in order to find solutions to
the noncommutative Maxwell's equations described by the $U_\star(1)$ group, the
DQC needs to be modified by perturbative corrections that introduce a
dependence on space-time points. Thus the DQC fails to be a topological
property of noncommutative space-time. We comment on the possible origin of
this difference.
