The magnetic moment of proton and neutron is determined by a second-order perturbation calculation. A new limiting process secures the convergence of the integration in momentum space. The result for both pseudoscalar and vector meson is the same and leads to a positive magnetic moment for the neutron if the magnetic moment of the vector meson is assumed to be one meson magneton (eℏ/2μc). Agreement with the known values of the magnetic moment of the heavy particles can only be obtained if we give the vector meson an anomalous magnetic moment of about three meson magnetons.