In a high-frequency circuit having a substrate having a high-frequency transmission line and an dielectric resonator formed on said substrate so that said dielectric resonator and said high-frequency transmission line may be coupled electro-magnetically to each other, a hole part or a cavity part is formed at a part of said substrate and a dielectric resonator is embedded in said hole part or said cavity part. In the same object, a high-frequency circuit having a dielectric resonator is produced by the step for forming a high-frequency transmission line on a substrate, the step for forming a hole part or a cavity part on a part of the substrate, and the step for mounting a dielectric resonator in the hole par formed on the surface of the substrate.