  It is known that the Shubnikov--de Haas oscillations can be observed in the
Hall resistivity, although their amplitude is much weaker than the amplitude of
the diagonal resistivity oscillations. Employing a model of two-dimensional
massive Dirac fermions that exhibits anomalous Hall effect, we demonstrate that
the amplitude of the Shubnikov--de Haas oscillations of the anomalous Hall
conductivity is the same as that of the diagonal conductivity. We argue that
the oscillations of the anomalous Hall conductivity can be observed by studying
the valley Hall effect in graphene superlattices and the spin Hall effect in
the low-buckled Dirac materials.
