  The light-by-light contribution from the axial-vector (AV) mesons exchanges
to the muon anomalous magnetic moment is estimated in the framework of the
nonlocal chiral quark model. The preliminary answer for contributions from a1
and f1 mesons to (g-2)_mu is 0.34 x 10^(-11) and does not support the
Melnikov-Vainshtein estimate 2.2 x 10^(-11).
