the multi-asperity sphere-shape model for surface contact between sulphurized layer and unsulphurized layer is established．in which the height of sphere-shape asperities follows the Gaussian distribution．1he frictional coeficients of sulphurized layers are analyzed by using plastic flown line theory．1he results show that the frictional coeficient increases with the load．the frictional coeficient of ground surface is higher than that of tumed surface in case of the same roughness．1he thicker the sulphuri[ed layer is．the higher the frictional coeficient is．From the viewpoint of reducing frictional coeficient，the thickness of sulphurized layer should be smaller．

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