Abstract: An asymmetrical structural model of the ultrasonic elliptical vibration transducer only with the longitudinal animation was presented through analyzing the model of the longitudinal vibration transducer. Based on the modal and static analysis of the finite element method, the various parameters of the model were modified to meet the needs of the vibration modality and the inherent frequency. A system of the ultrasonic elliptical vibration cutting with the single longitudinal animation was developed. The surface finish with high quality can be achieved by the ultrasonic elliptical vibration cutting with a polycrystalline diamond (PCD) tool. It is proved that the ultrasonic elliptical vibration transducer can be rational designed with the finite element methods in respects of parameter optimization and modal analysis. At the same time, the ultrasonic elliptical vibration cutting can improve the quality of the surface finish effectively.