Abstract: According to characteristics of stress discontinuous lines, the discontinuous stress field in soil caused by the retaining wall, which tends to rotate about some point in the wall, are analyzed. Based on the upper and lower bound theorems, the stress slide field was obtained by numerical calculations, and three kinds of boundary value problems are solved correspoindingly. In the analysis, the weight of soil and the friction between soil and the retaining wall were taken into account. Morover, the corresponding mobile fields were also obtained, and it is found the stress fields satisfy velocity boundaries of the retaining wall. At last, the rigorous distribution of soil pressure against rigid retaining walls was obtained, and the results of numerical calculation show that the approach of applying upper and lower bound theorems to solve the first kind of limit equilibrium problems is feasible.