<p>In order to study the influence of ultrasonic vibration on the machining chatter stability of reticulated titanium matrix composite thin-walled parts, firstly, the influence law of machining parameters on ultrasonic cutting separation ratio was obtained through kinematics analysis. Then, based on the cutting separation ratio, a semi-discrete method compatible with ultrasonic vibration is established to predict the chatter stability of ultrasonic vibration milling, and it is found that the stability lobe diagram corresponding to ultrasonic vibration milling is higher than that of traditional milling as a whole. Then, the cutting force coefficient identification and modal experiment of ultrasonic vibration machining of titanium matrix composites are carried out, and the cutting force coefficient and modal parameters of ultrasonic vibration machining are analyzed. Finally, based on the drawn stability lobe diagram, different machining parameters are selected to carry out the stability model verification experiment, and the vibration signal measured by a laser vibrometer is used to identify the machining stability state. The experimental results verify the model’s accuracy and show that ultrasonic vibration can suppress the machining chatter.</p>