  We study the spin fluctuation of the oxygen deficient planes of
YBa(2)Cu(3)O(6+x). The Cu-O chains that constitute these planes are described
by a model that includes antiferromagnetic interactions between spins and
Kondo-like scattering of oxygen holes. The spectrum of magnetic excitations
shows the presence of incommensurate dynamic fluctuations along the direction
of the chains. The presence of itinerant holes is responsible for the existence
of important differences between the spin dynamics of this system and that of a
quasi-one-dimensional localized antiferromagnet. We comment on the possibility
of experimental observation of these fluctuations.
