We construct the effective anomaly lagrangian involving nucleons and photons by using the current-current coupling method. The contribution of this lagrangian to the anomalous magnetic moment of nucleon is purely isovector. The anomalous magnetic moment of the proton, kappa(P), can be calculated from this lagrangian and it is found to be kappa(P)(Theor.) = 1.77, which is in excellent agreement with the experimental value kappa(P)(Exp.) = 1.79. While for the neutron, kappa(N)(Theor.) = -2.58 as compared to kappa(N)(Exp.) = -1.91, is less satisfactory, but the sign is correct.