We investigate the contributions of W-meson intermediate states to photon-photon scattering in SU(2)L×U(1) model. Because the spontaneously broken gauge theories are renormalizable and the electromagnetic gauge invariance remains valid under symmetry-breaking, the infinities in the scattering amplitude of one loop approximation must cancel each other. We show the finiteness of the photon-photon scattering amplitude by calculation. We give the effective nonlinear interaction Lagrangian of the electromagnetic field and the scattering cross section at low energies. At low energies the leptonic intermediate states dominate the scattering amplitude, but at high energy limits the contributions of W-meson intermediate states are comparable with the contributions of leptonic intermediate states.