At present, there are many ways for studies on the stability of high rock slope, but the studies of rock excavation slope stability as well as relationships between the slope angle and the inclination of structural plane are rarely reported. Lots of numerical analysis methods have been used to determine the stability of high rock slope, and few people use the method of analytical solutions in analysing the secondary terrace stability of the high rock slope. Based on the block limit equilibrium theory, assuming that the secondary terrace of the high rock slope is totally damaged, and that the slip plane is a straight surface, the analytical solutions of the minimum safety factor of the secondary terrace the high rock slope are derived. Analysis of various parameters in the analytic expressions to determine the sensitivity of factors influencing the stability of the slope shows that the stability coefficient of the secondary terrace of the high rock slope is linearly proportional to rock cohesion and internal friction angle, and inversely proportional to the slope height and slope angle, with the increase of the large slope angle of the first terrace. According to the analytic expressions, using the safety factor of the slope stability and the established secondary terrace analytical solutions of the high rock slopes stable slope angle, the secondary terrace stable slope angle and cohesive force, internal friction angle, slope height and safety coefficient curves are obtained. Through calculation and analysis of existing engineering examples, comparing the differences between the theoretical formula and the numerical simulation results, it is shown that the theoretical formula, which has guiding significance for the design of the rock slope and landslide treatment, can be applied to practical engineering.