The nonlocal quark model is a nonlinear realization of the NJL model and it has a good agreement for the description of light pseudoscalar mesons.
We apply the nonlocal quark model for calculating the hadronic part in g-2 of the muon and the contribution of light by light in particular. Nonlocality is motivated by instantons that generate a contact term of interaction that take into account a structure of vacuum QCD.