  The renormalizability of the three dimensional supersymmetric CP^(N - 1)
model is discussed in the 1/N-expansion method, to all orders of 1/N. The model
has N copies of the dynamical field and the amplitudes are expanded in powers
of 1/N. In order to see the effects of supersymmetry explicitly, Feynman rules
for superfields are used. All divergences in amplitudes can be eliminated by
the renormalizations of the coupling constant and the wavefunction of the
dynamical field to all orders of 1/N. The beta function of the coupling
constant is also calculated to all orders of 1/N. It is shown that this model
has a non-trivial ultraviolet fixed point. The beta function is shown to have
no higher order correction in the 1/N-expansion.
