The resonant Josephson tunnel junction is used generally in the Josephson voltage-standard works. This paper starting from the forced vibration model, taking account of the magnetic coupling boundary condition, treats a junction in the waveguide system, and result which agrees with those of the experiments is obtained. In the experiment we improved the short circuit unit of the waveguide, system, thus the microwave leakage was reduced and the short circuit condition has been improved. The result of our experiment at low temperature shows that the improving is effective.