  We establish spectral and dynamical localization for several Anderson models
on metric and discrete radial trees. The localization results are obtained on
compact intervals contained in the complement of discrete sets of exceptional
energies. All results are proved under the minimal hypothesis on the type of
disorder: the random variables generating the trees assume at least two
distinct values. This level of generality, in particular, allows us to treat
radial trees with disordered geometry as well as Schr\"odinger operators with
Bernoulli-type singular potentials. Our methods are based on an interplay
between graph-theoretical properties of radial trees and spectral analysis of
the associated random differential and difference operators on the half-line.
