The resonant frequency of a TE/sub 01delta//spl deg/ dielectric resonator was obtained by assuming a cylindrical surface containing the circumference of a dielectric resonator as a magnetic wall. In such a method, the error was less than 10 percent. In this short paper, the resonant frequency is obtained by a variational method, where the surface impedance is variated from a infinite value. The theoretical value of a resonant frequency has a good agreement with our experimental result with an error less than 1 percent.