  We consider the coupling of fermions to the three-dimensional noncommutative
$CP^{N-1}$ model. In the case of minimal coupling, although the infrared
behavior of the gauge sector is improved, there are dangerous (quadratic)
infrared divergences in the corrections to the two point vertex function of the
scalar field. However, using superfield techniques we prove that the
supersymmetric version of this model with ``antisymmetrized'' coupling of the
Lagrange multiplier field is renormalizable up to the first order in
$\frac{1}{N}$. The auxiliary spinor gauge field acquires a nontrivial
(nonlocal) dynamics with a generation of Maxwell and Chern-Simons
noncommutative terms in the effective action. Up to the 1/N order all
divergences are only logarithimic so that the model is free from nonintegrable
infrared singularities.
