<p>With its excellent physical and mechanical properties, tungsten alloy has been widely applied in the fields of national defense, military, and aerospace. However, tungsten alloys are typically difficult to machine. The ultrasonic elliptical vibration cutting(UEVC) technology can significantly improve the surface shape and reduce the surface roughness of the workpiece. Regarding their surface shape and roughness, however, the precise influence rules of the cutting parameters and tool nose arc radius remain unknown. Therefore, in this paper, the ultrasonic elliptical vibration machining process was used for cutting machining experiments on tungsten-nickel–iron alloy. The purpose is to investigate the effects of different tool nose radii and cutting parameters on the surface quality of workpieces during UEVC. The experimental results demonstrated that UEVC significantly improved the surface morphology of W93NiFe alloy and decreased the surface roughness of the workpiece. With the increase in feed, the surface topography gradually deteriorates, and the surface roughness increases. As the cutting speed is smaller than the threshold value, as the cutting speed increases, the surface roughness gradually decreases and the surface morphology gradually improves. However, once the cutting speed exceeds the threshold value, the surface roughness increases, and the surface topography gradually deteriorates. Moreover, increasing the cutting depth significantly increases the surface roughness and deteriorates the surface topography. In contrast, increasing the radius of the tool nose arc contributes to the improvement of surface topography and the reduction of surface roughness.</p>