Face gear drive, a new type of gear , is meshed by a cylindrical gear and a bevel gear. It has many unique advantages. Especially in high-speed and heavy-load situation, it has obvious advantages and wide application in the aviation field of power transmission. But the surface gear's major object is low productivity, processing and complex machine tools, adjustment difficulties, high processing costs. Based on this, briefly discussed the status of face gear drive and needs further study, the author proposes a butterfly gear grinding wheel becomes the grinding face gear's theory and the processing method, the author elaborated the numerically-controlled machine tool realizes the surface gear grinding processing method, and has carried on the reasonable choice and the examination to the numerical control gear grinding machine's horizontal sliding table major component (ball screw).