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A statistical method is applied to the analysis of face grinding mechanism. The grain dropping ratio is defined and a simulation of the wear process of grinding wheel is made in calculation by a computer. The relation between the grinding condition and the progress of worm surface is analyzed. The results are as follows: The curve of worm surface becomes the shape of 'S' whose middle part is nearly straight. A certain relation between the progressive speed, the slope of the tangent to the curve and the distribution of the dropping ratio is found independently of the grinding conditions. When the progressive speed is very small, it changes stepwise. The strong correlation between the grinding conditions and the progressive speed is observed. As parameters such as the critical depth of cut, the grain size number, the half of apex angle of grain, the rotating speed of the wheel, the depth of cut and the grain volume ratio of the wheel become large, the progressive speed becomes small. And as the feeding speed is reduced, the progressive speed decreases. (Wassmann)