  We investigate the quantum anomalous Hall effect in a mixture of ultra-cold
neutral bosons and fermions held on a hexagonal optical lattice. In the strong
atom-atom interaction limit, composite fermions composed of one fermion with
bosons or bosonic holes in the mixture are formed. Such composite fermions have
already been generated successfully in experiment [Nat. Phys. {\bf 7}, 642
(2011)]. Here we predict that this kind of composite fermions may provide a
realization of the quantum anomalous Hall effect by tuning the atom-atom
interaction or the filling of the bosons in the mixture. We also discuss the
corresponding experimental signatures of the quantum anomalous Hall effect in
the Bose-Fermi mixture on hexagonal optical lattice.
