According to the demand of the gird structure skin and rib texture winding formantion,this article discuss the spiral curve and geodesic line of column and cone by means of the differential geometry method. The problem of the composite grid structure skin and rib texture winding formation was solved. The results show that the arc length and curvature calculation method of the spiral curve and geodesic line of column and cone can be used for the design and manufacture of the mold forming device of the composite grid structure and fiber winding.The calculation method of arc length and curvature of logarithmic spiral and archimedes spiral can be used for the design and production of the soft mold forming device of the cone composite grid structure and fiber winding.The condition for the automation manufacture of the composite trellis structure has created.At the same time, for engineering needs, different kinds of grid structure are selected for different processing and forming methods, which can greatly reduce the processing difficulty and realize low cost and fast mass production.