The paper studies gear chamfering process and carries out process of gear chamfering based on the tooth profile accompanying principle. Based on such method, the cone grinding wheel chamfering structure is designed. Taken the awl grinding wheel head organization as study object, influences of the grinding wheel structure size and installing position is studied. Model of gear chamfering is established based on the spatial geometry relations. Single gear was taken as an example, the degree and size of the edge for such gear after gear chamfering is calculated.