  The anomalous Hall effect has considerable impact on the progress of
condensed matter physics and occurs in systems with time-reversal symmetry
breaking. Here we theoretically investigate the anomalous Hall effect in
nonmagnetic transition-metal pentatelluride $\mathrm{ZrTe_{5}}$ and
$\mathrm{HfTe}_{5}$. In the presence of Zeeman splitting and Dirac mass, there
is an intrinsic anomalous Hall conductivity induced by the Berry curvature in
the semiclassical treatment. In a finite magnetic field, the anomalous Hall
conductivity rapidly decays to zero for constant spin-splitting and vanishes
for the magnetic-field-dependent Zeeman energy. A semiclassical formula is
derived to depict the magnetic field dependence of the Hall conductivity, which
is beneficial for experimental data analysis. Lastly, when the chemical
potential is fixed in the magnetic field, a Hall conductivity plateau arises,
which may account for the observed anomalous Hall effect in experiments.
