A computer numerical control machine tool for grinding two sides of a plane by shifting self-rotation ultrasonic vibration, wherein a pillar (3) is provided on the tool body (1) of the machine tool, a Y axis movement assembly (12) is provided on the platform of the tool body (1), with a lower revolving movement assembly (11), which revolves about a Z coordinate axis, being mounted on the upper surface of the Y axis movement assembly (12), and a lower grinding plate (10) being mounted coaxially above the lower revolving movement assembly (11); an ultrasonic vibration assembly (2) is mounted fixedly on the pillar (3), with a separation plate (8) for clamping a workpiece assembly (9) being provided on the ultrasonic vibration assembly (2); an X axis movement assembly (4) is mounted on the upper part of the pillar (3), a Z axis movement assembly (5) is mounted on the upright face of the X axis movement assembly (4), with an upper revolving movement assembly (6), which revolves about the Z coordinate axis, being provided on the Z axis movement assembly (5), and an upper grinding plate (7) being mounted coaxially on the revolving axis of the upper revolving movement assembly (6). The present invention enhances the time variation of grinding movement tracks, the uniformity of grinding speed distribution, machining efficiency and machining precision.