  We investigate the possible origin of anomalous Hall effect in the CMR
(colossal magnetoresistance) materials - the doped rare earth manganites -
observed recently by Matl et al. It is demonstrated that the spin-orbit
interaction in the double exchange model couples magnetization to the Berry
phase associated with three dimensional spin textures and induces a non-zero
average topological flux which in turn generates an anomalous contribution to
transverse resistivity. The same effect, but involving the orbital Berry phase,
occurs in the model with orbital degeneracy and Coulomb repulsion.
