Analytical solution is proposed for induction brazing of electrical contacts by solving coupled equations of electromagnetic field and thermal field. And a finite element model is presented in the paper to simulate induction brazing of electrical contact. The numerical results agree well with the analytical results. Therefore the feasibility of simulation analysis of induction brazing using finite element method is fully validated. Numerical results show that, the temperature near the boundary of electrical contacts is the highest in the brazing region. The closer to the center of brazing region, the lower the temperature. In addition, when induction coil wound with ferrite, the state of melting the solder near the center of electrical contact becomes more similar to the state near the boundary of electrical contact, accordingly nonuniform distribution of the temperature at brazing interface is improved to a certain extent. Further more, whether the induction coil optimized or not, the brazing time all decreases with the increase of brazing current. And under the same brazing current, it costs less time to obtain the required temperature rise when using the coil wound with ferrite. This indicates that the use of ferrite to optimize induction coil will improve nonuniform temperature distribution of induction brazing, which will also saving brazing time, thus improving brazing efficiency and brazing quality.This has certain instructive significance to the brazing of electrical contact material