Provided in an embodiment of the present invention are a triple-mode dielectric resonator and filter. The triple-mode dielectric resonator comprises: an electrically conductive housing, a dielectric cube and a supporting base. The dielectric cube is disposed via the supporting base in a cavity formed in the electrically conductive housing and forms three resonance modes in three mutually orthogonal directions. The dielectric cube comprises at least one first dielectric hole and at least one second dielectric hole, wherein axial directions of the first dielectric hole and the second dielectric hole are not parallel so that relative coupling bandwidths between resonance frequencies corresponding to the resonance modes are enlarged, thereby realizing larger relative coupling bandwidths to realize a predetermined electrical functionality.