  We consider 2+1 dimensional noncommutative models of scalar and fermionic
fields coupled to the Chern-Simons field. We show that, at least up to one
loop, the model containing only a fermionic field in the fundamental
representation minimally coupled to the Chern-Simons field is consistent in the
sense that there are no nonintegrable infrared divergences. By contrast,
dangerous infrared divergences occur if the fermion field belongs to the
adjoint representation or if the coupling of scalar matter is considered
instead. The superfield formulation of the supersymmetric Chern-Simons model is
also analyzed and shown to be free of nonintegrable infrared singularities and
actually finite if the matter field belongs to the fundamental representation
of the supergauge group. In the case of the adjoint representation this only
happens in a particular gauge.
