The analysis of a cylindrical waveguide which is partially filled with dilectric materials has been performed for many years. Hut most of the analyses were an approximation by the analytic method. In this paper a FORTRAN program for numerical analysis is introduced to calculate the propagation constant for TE. TM and Hybrid modes. The results of the numerical calculation can be used to determine the resonant frequencies for TM. TE and Hybrid modes in the dielectric resonator.