According to the fundamental theory of upper bound theorem of plastic limit analysis and strength reduction technique based on pseudo-static method

the upper bound solution of the horizontal yield acceleration coefficient of slope stabilized by sheet-pile retaining wall

and two-step anchored bolt retaining wall is deduced rigorously. The critical values of the horizontal yield acceleration of multistage retaining high slopes with different heights of multistage retaining structures

the width of slope plain stages

soil shear strength reduction coefficient

the empirical coefficient of earth pressure along pile

the angle of anchored bolt retaining wall

the pretension force and angle of anchor rod are calculated. The influence factors sensibility sequences of the horizontal yield acceleration coefficient of the bedrock and overburden layer slope under earthquake loading are listed using the orthogonal experiment method. The study indicates that two factors such as the height of multistage retaining structure

and the pretension force of anchor rod are the key factors that influencing the sensitivity of the horizontal yield acceleration coefficient of the multistage retaining slope; but the sensitivities of three factors including the angle of anchor rod

the empirical coefficient of earth pressure along pile

and the width of slope plain stage are relatively small. Moreover

the parameters such as the angle of anchor rod

the angle of anchored bolt retaining wall

the width of slope plain stage

the resistance of sheet-pile retaining wall

the selection of earth pressure distribution type along pile

and cohesion among the shear strength parameters have little effect on the horizontal yield acceleration coefficient; but the internal friction angle has a great influence on it.