To improve the product quality of combined elbows and reduce the production cost, 2-axis computer control filament winding machine was designed to wind the combined elbows. Geodesic and non-geodesic theory was used to design the fiber winding trajectory of elbow and tube. The boundary condition without slippage and bridging and the overlay condition of the maximum arc on the elbow were given. The winding nodes were designed with the patch winding theory and the overlap condition of the minimum arc on the elbow was analyzed. The winding control program was written to verify the practicability of this winding method. The result shows that the winding process has the advantages of simple structure, low cost, high productivity and stable pattern. It can meet the winding requirements of all combined elbows.