  The light-by-light contribution from the lightest neutral pseudoscalar and
scalar mesons to the anomalous magnetic moment of muon is calculated in the
framework of the nonlocal SU(3)x SU(3) quark model. The model is based on
chirally symmetric four-quark interaction of the Nambu-Jona-Lasinio type and
Kobayashi-Maskawa-t`Hooft U_A(1) breaking six-quark interaction. Full kinematic
dependence of vertices with off-shell mesons and photons in intermediate states
in the light-by-light scattering amplitude is taken into account. The small
positive contributions from the scalar mesons stabilize the total result with
respect to change of model parameters and reduces to a_\mu^{LbL,PS+S}=(6.25\pm
0.83)x10^{-10}.
