Abstract: Machine for ultrasonic abrasion machining of the type comprising an assem (1) supporting the parts (p) to be machined; a vibrating assembly (9) ending in a tool-holder (12) and adapted to drive the tool (8) with a reciprocal movement at ultrasonic frequency and to communicate these vibrations to an abrasive machining liquid; a system for the controlled descent of the tool towards the part to be machined, the attacking surface of the tool (8) being perpendicular to the axis of the tool-holder (12), so that the ultrasonic abrasion machining is carried out at the tool end; a device for regulating the downward movement of the tool; and, between the vibrating assembly (9) and a fixed frame (4), acousto-mechanical filters (20) disposed at longitudinal amplitude nodes (21, 22) of the vibrations, characterized in that an acousto-mechanical filter (20) is formed essentially of two concentric rings (23, 24) connected together by equidistant bridges (25), the inner ring (24) being deformable resiliently under the effect