Abstract: The non-linear failure criterion proposed by Baker is a generalized geotechnical strength criterion, and the conventional criterion such as M-C, Griffith and Hoek-Brown strength criterion are all special cases of it. Here, based on the Baker criterion, we studied the advance diagnosis of the high cut slope stability, the reinforcement method of pre-reinforced pile, and the critical acceleration and permanent displacement of failure system under seismic excitations. Meanwhile, the optimal solutions are also suggested by multivariable expression. At last, an example is given to prove the theory. The result shows both slope stability and the load of pre-reinforced pile, except for the critical acceleration, are both affected greatly by the cutting method effect.