The authors contrived a new grinding method in which the workpiece's ultrasonic vibration direction is vertical to the peripheral speed of the wheel. Based on the grain movement model of the ultrasonic grinding vibration direction vertical to the speed of wheel, a new theoretical model of the material removal rate in work lateral ultrasonic grinding is proposed. Mechanism of high efficiency material removal in work lateral ultrasonic vibration grinding (lateral WUVG) was analyzed. The effects on the material removal rate and the surface roughness of the vibration amplitude, the static load applied and the size of abrasive are measured. It has been concluded that any increase in the amount of work imparted to the machined ceramics, the static load applied and the grit size of the abrasive will result in an increase in the material removal rate and roughening of the grinding surface. The study showed that ultrasonic vibration grinding is a precision and highly efficient method for machining of ceramic composites.