  In this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model
in 2+1 dimensions, where the basic field is in the fundamental representation
which, differently to the adjoint representation already studied in the
literature, goes to the usual supersymmetric $CP^{(N-1)}$ model in the
commutative limit. We analyze the phase structure of the model and calculate
the leading and subleading corrections in a 1/N expansion. We prove that the
theory is free of non-integrable UV/IR infrared singularities and is
renormalizable in the leading order. The two-point vertex function of the basic
field is also calculated and renormalized in an explicitly supersymmetric way
up to the subleading order.
