  We study the possibility of explaining the recently found anomalies in
B-meson decays within scenarios with a composite Higgs boson. This class of
models provides a natural way to fit the experimental results, interpreting the
anomalies as the result of the exchange of heavy vector resonances with
electroweak quantum numbers. The anomalies are tightly related to deviations in
Delta F = 2 transitions and to deformations of the Z and W couplings, whose
size is of the order of the present experimental bounds. This leads to a very
predictive scenario which could be soon tested at collider experiments.
