Abstract: Based on the basic flow function method imposed on the tube extrusion process about different curved dies, the mechanical modeling, analysis and numerical solutions are carried out; as a result, a kind of calculation method and corresponding expressions about tube extrusion force are obtained, and extruding a numerical solution process is written on MATLAB software platform. Compared with the actual test measurement, the calculated extruding force coinciding with the maximum relative error is only -5.4%, which is to say, the calculation accuracy of extrusion force is superior to that of slab method and balanced work method; what is more, owing to iterative solving of an unknown coefficient avoided, the computational efficiency is highly improved. To sum up, the calculation accuracy and efficiency of solving extrusion forces on the basic flow function method mentioned by this paper are supposed to satisfy engineering demand.