Abstract: The global analysis method for slope stability with no convergence problem of the rigorous slice methods is one of the rigorous limit equilibrium methods. It can also be easily extended to the three-dimensional rigorous limit equilibrium method. However, the reason why the global analysis has not been in the team of those mainstream limit equilibrium methods probably is that the global analysis is unable to produce statically admissible force systems like the Morgenstern-Price method. For two-dimensional problems, this study proposes polygonal line and Fourier line style of stress correction with two parameters, respectively, both of which satisfy the natural decomposition and endpoint conditions of the normal stress on the slip surface. Through the analysis of typical slope cases, it shows that the global analysis is far superior to the classical slice methods represented by the Morgenstern-Price method, in terms of its ability to generate statically allowable force systems. Therefore, it is recommended to prioritize the global method in the stability analysis of slopes.