  A zero temperature real space renormalization group (RG) approach is used to
investigate the role of disorder near the quantum critical point (QCP) of a
Kondo necklace (XY-KN) model. In the pure case this approach yields $J_{c}=0$
implying that any coupling $J \not = 0 $ between the local moments and the
conduction electrons leads to a non-magnetic phase. We also consider an
anisotropic version of the model ($X-KN$), for which there is a quantum phase
transition at a finite value of the ratio between the coupling and the
bandwidth, $(J/W)$. Disorder is introduced either in the on-site interactions
or in the hopping terms. We find that in both cases randomness is irrelevant in
the $X-KN$ model, i.e., the disorder induced magnetic-non-magnetic quantum
phase transition is controlled by the same exponents of the pure case. Finally,
we show the fixed point distributions $P_{J}(J/W)$ at the atractors of the
disordered, non-magnetic phases.
