Acoustic black hole (ABH) structures possess unique properties of energy concentration and flexural wave amplitude amplification. By taking advantage of these properties, this paper proposes a novel ABH flextensional transducer, which consists of an internal Langevin transducer and an external ABH metal ring. The longitudinal vibration generated by the Langevin transducer drives the flexural vibration of the acoustic black hole ring (ABHR), thereby converting the longitudinal vibration into flexural vibration of the radiator with a large amplitude. Based on the Timoshenko curved beam theory, a theoretical model of the ABHR is established using the transfer matrix method (TMM), where the ring is circumferentially divided into 2n elements of equal thickness, enabling calculation of the resonant frequency of its flexural vibration. The accuracy of the theoretical model is verified through finite element simulations. Furthermore, the electrical impedance frequency response, vibration characteristics, and radiated sound field of the transducer in air are simulated. Compared with a ring flextensional transducer of equal thickness, the ABH transducer exhibits superior performance in terms of vibration displacement amplitude, transmitting voltage response, and maximum sound pressure. A prototype of the transducer is fabricated, and its electrical impedance and vibration characteristics are experimentally measured. These measurements agree well with the numerical simulations, verifying the reliability of the theoretical model and the numerical analysis. The results show that under the same operating frequency and vibration mode conditions, the ABH structure can enhance the sound radiation performance and directional radiation capability of the transducer. This type of ABH transducer holds promise for applications in airborne ultrasonic directional radiation and related fields.