  We study the renormalization group evolution and the infra-red stable fixed
points of the Yukawa couplings of the non-minimal supersymmetric standard model
(NMSSM) with R-parity violation. Retaining only the R-parity violating
couplings of higher generations, we analytically study the solutions of the
renormalization group equations of all the couplings of the model. We find that
there are no simultaneous non-trivial infra-red fixed points for all the
couplings of the model, and that the infra-red fixed point structure of the
model is similar to the MSSM with R-parity violation. In particular, we show
that only the baryon number violating coupling $\lambda^{''}_{233}$, together
with top- and bottom-quark Yukawa couplings, approaches a non-trivial infra-red
stable fixed point. However, this fixed point solution predicts a top-quark
Yukawa coupling which is incompatible with the top quark mass for any value of
$\tan\beta$.
