The load and displacement incremental scheme and the cylindrical arc-length method for geometrically non-linear analysis of space truss structures are presented and the tangent stiffness matrix of space truss element based on the updated lagrangian formulation is directly derived. Two incremental schemes can automatically trace post-buckling equilibrium path such as snap-through and turning-back. To demonstrate the effectiveness of the present strategies, numerical examples of two reticulated space truss are given and compared with solutions using other methods.